A triangle has one angle of 120°, what must be true about the other two angles?

Q: Two angles that have the same initial and terminal sides are ________.

A: Two angles that have the same initial and terminal sides are Equal.

Q: Given a right triangle  with one of the angles being 12.6 what is the measurement of the third angle…

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Q: Can you find the measurements of each lettered angle and give a conjecture that supports your answer…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: softball the distance from home plate to first base is 60 feet, as is the distance from first base…

A: Let 'd' be distance thrown by catcher standing on home plate to shortstop standing on second base…

Q: Anna is comparing triangles, and knows that two sides and their included angle are congruent. Which…

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Q: Is this is a right angle triangle

A: Given: a=14,b=16,c=18 where a,b,care the sides of a triangle. To determine: Is this a right angled…

Q: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

A: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: I noticed that for a right triangle, the Law of Cosines reducesto the Pythagorean Theorem.Determine…

A: To Determine:  a right triangle, the Law of Cosines reduces to the Pythagorean Theorem.Determine…

Q: A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the…

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Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: If mzB = 30°, what is the ratio of angle B to its own supplement?

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Q: What is the measure of angle R, given the largest triangle is a right triangle?

A: Given: The largest triangle is a right triangle. To Find: Measure of angle R

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: If the measure of each angle of a triangle is less than 90, the triangle is called____?

A: Given: The length of each angle of a triangle is less than 90° Since, The Sum of all angles of…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other…

A: Consider a right triangles.

Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: Why is it always possible to find the third angle of any triangle when youare given the first two?

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Q: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

A: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an…

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Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75…

A: cos x = adjacent/hypotenuse

Q: A 25-foot ladder is leaned against a house. If the base of the ladder is 8 feet away from the house,…

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Q: Liana said that she made a triangle with angle measurements of 40, 80, and 40°. Is this a possible…

A: as we know, for the triangle, the sum of all 3 angles is 180

Q: The measure of the angle 330° in standard position is given. Find two positive angles and two…

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Q: What is the last step made in constructing an angle that is congruent to another angle?

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Q: What is the sum of the measures of the interior angle of a 19-gon

A: A polygon has n sides And sum of the interior angles measure are: = (n -2)180°

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75° with…

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Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: The back of a garden lounge chair has 3 possible positions. a) In position 1, the obtuse angle is…

A: Given, The back of a garden longe chair has 3 possible positions. a) Given in position 1, the obtuse…

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

Q: In any triangle, the sum of the three interior angles is always _______.

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Q: in a certain right triangle ABC, angle B is the right angle, AC can be expressed as (2x+y) while BC…

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Q: Which statement is NOT true about similar triangles ?

A: For the given statement

Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: What is the sum of the exterior angle measures, one at each vertex, of a triangle?

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Q: Mang Tomas will enclose two sides of his triangular vegetable garden with two pieces of chicken wire…

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Q: he height of a right circular cone is 24.6 centimeters. If the diameter of the base is 10.4…

A: Given: The height of a right circular cone is 24.6 cm. The diameter of the base of the cone is 10.4…

Q: If you are given all three sides of a triangle (SSS), how can you tell whether it has a right angle?

A: If square of one side is equal to sum of squares of another two sides then we can say pythagorean…

Q: 2. If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: according to our guidelines we are supposed to answer only the first question if you want any…

Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

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Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

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Q: a V2

A: In the given right triangle  adjacent = 1 Opposite = a Hypotenuse = 2

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.