Two angles are supplementary if the sum of their measures is 180°. If the measure of the first of two supplementary angles is less than 32°, what must you conclude about the measure of the second angle?

Q: One angle of a triangle is thrice as much as the other, while the third angle is five times as much…

A: Let us consider a triangle ABC then sum of angles of the triangle is 180° In other words…

Q: In the applet above right triangle ABC is drawn with a 72° angle. For right triangles with an angle…

A: this can solve by using trigonometry angle ratio.

Q: Recall that two angles are complementary if the sum of their measures is 90. Find the measures of…

A: Recall that two angles are complementary if the sum of their measures is 90. To Find the measures of…

Q: If the two triangles are similar by hypotenuse-leg similarity, what is the value of X?

A: Given,

Q: The second angle of a triangle is three times the first, and the third is 12degrees less than twice…

A:

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

Q: In Circle O, line AOC is a diameter, line ADB is a secant, and  line BC is a tangent. If the measure…

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Q: The measure of one interior angle of a parallelogram is twice the measure of another angle. Find the…

A: Let ABCD be a parallelogram .  In parallelogram , opposite angles are equal Consecutive angles are…

Q: If the altitude and the base of a triangle were each increased by 2 cm, the area would increase by…

A:

Q: If the sum of the measures of two angles is 180, then the angles are ___?

A: Given:  sum of the measures of two angles is 180°Let x° and y° be any…

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given: The height of building =200 meters and angle of depression  from top of building to bottom of…

Q: The sum of the sides of a triangle is equal to 100 cm. If the angles of the triangle are in the…

A: Given:  sum of sides of triangle is 100cm Let the sides of triangle be x, 2x and 4x

Q: The larger of two supplementary angles exceeds the smaller by 180. Find them.

A: For two supplementary angles ‘x’ and ‘y’ the given conditions can be written from the information…

Q: In the applet above right triangle XYZ is drawn with a 23 angle. For right triangles with an angle…

A: Given that the ratio of adjacent side of 23 angle to hypotenuse is 0.92 we know that  cosθ=adjacent…

Q: In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to…

A:

Q: If qs represents an angle bisector, solve for x.

A: Given,          QS represents an angle bisector and the triangle is shown below :

Q: If the measure of an angle is equal to the measure of it's complement, what is the measure of the…

A: Two angles are said to be complementary when their sum is equal to 90∘ Here one angle is equal in…

Q: triangle has sides of length 10 cm and 15 cm. The parimeter of the triangle must be between what two…

A: We have to find perimeter

Q: . Why can we always solve a right triangle if we know the measures of one side and one acute angle?…

A: We know by pythagoras theorem in right angle triangle (Hypotenuse)^2 = (base)^2+(perpendicular)^2…

Q: 3. The arm and blade of a windshield wiper have a length of 34 inches. If the blade is 25 inches…

A:

Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

Q: In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the…

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Q: If the measure of two angles in a triangle are 60 and 100°, what is the measure of the third angle

A: The objective is to find the measure of third angle.

Q: Find the exact values of x and y. Right triangle with 10 hypotenuse, y adjacent to 30◦ angle, and x…

A: ∆ABC is a right triangle,Sin30°=PerpendicularHypotenuseSin 30°=x1012=x102x=10x=5 units

Q: Use dedication to state a conclusion,if possible

A: To Determine: if he sum of the measures of two angles is 90∘,then these angles are called…

Q: Solve for X (length of KS) when Angle L is and the length of LS is 19 degrees 11.1 inches

A: Given,  ∆KLS with ∠K = 90°  ;  ∠L = 19°   and   LS = 11.1 inches We have to find the value of x

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: If the ratio of the measure of the complement of an angle to the measure of its supplement is 1 : 6,…

A: Let the angle be x°. Its complement is 90°-x° Supplement is 180°-x°

Q: A civil engineer desires to measure the height of a tower observing a vertical angle at A. He then…

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Q: Prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of two…

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Q: From the third floor of a tall building, the angle of depression of an object on the ground is 37.4,…

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Q: The two equal sides of an isosceles triangle are each 44 centimeters. If the base measures 28…

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Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: In the applet above right triangle XYZ is drawn with a 23° angle. For right triangles with an angle…

A: Given data: The given angle is ∠YXZ=23°. The ratio of the leg adjacent to the given angle to the…

Q: The second angle of a triangle is four times the first and the third is 5 degrees more than twice…

A:

Q: he line connecting PC to PT is equal to 125m. If this line makes an angle of 13.5 with the back…

A: Given step by step explanation below

Q: Two sides and the included angle of a triangle are found by measurement to be 40 ft, 33 ft, and 60°…

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Q: If the sum of the measures of two angles is 90, then the angles are complementary

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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: The larger of 2 supplementary angles exceeds the smaller by 18 degrees find them

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Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…

A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…

Q: An angle is fifteen more than twice its complement. how large is the angle?

A: We need to find the angle with the given information.

Q: Given that 2 parallel lines are cut by a transversal, solve for the measure of the angle marked with…

A: we know that corresponding angles are congruent when a transversal bisect two parallel lines.…

Q: The radius of a wheel rolling on the ground is 79 centimeters. If the wheel rotates through an angle…

A: In this question we have to find the how many centimeters will wheel moves.

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

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Q: if the measure of an angle is x degrees, what is its complement?

A: Given,Angle = x degree

Q: 10. If your classmate is 6 feet tall and casts a shadow of 4 feet at the same time that the flagpole…

A: Topic = Triangles