Angles of a Triangle. The second angle of a triangle is four times as large as the first. The third is 27° less than the sum of the other angles. Find the measures of the angles.

Q: The measures of the angles of a triangle are shown in the figure below. Solve for x.

A: The given triangle is a right-angled triangle. Apply Angle Sum Property

Q: incidence differing by 20°. The angle of incidence, if the angle of prism is 60°, is

A: Using formula of deviation angle   ∆ = i1 + i2 -A

Q: Directions - Find the indicated angle measure. Create an angle addition (part + part = total)…

A: From the given data,∠FEG=35°∠GEH=40°

Q: Solve the​ triangle, if possible.     a=20.33​ cm, b=9.06cm, A=32.8° There is 1 possible solution to…

A: Given To Solve the​ triangle, if possible. a=20.33​ cm, b=9.06cm, A=32.8° There is 1 possible…

Q: degrees. (*diagram Based on the image below, the measure of angle TUV is not drawn to scale) * (6x +…

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Q: A right triangle is a triangle in which one interior angle is more than 90" a triangle in which all…

A: Third option is correct.  A right triangle is one which one angle is equal to 90 degree.

Q: The second angle of a triangle is the same size as the first angle. The thirdangle is 12 degrees…

A: Let, first angle is x Second angle is = x Third angle is= x+12

Q: . Given a triangle in which angle A = 107 degrees, side a = 6 and side b = 8, how many solutions are…

A: Given a triangle in which angle A = 107 degrees, side a = 6 and side b = 8

Q: A football is thrown by a quarterback to a receiver. The points in the figure show the height of the…

A: Given, a football is thrown by a quarterback to a reciever. The points in the figure show the height…

Q: The of the right-angle triangle is 500 cm². If the base of the triangle exceeds the altitude by 15…

A: the base of the triangle exceeds the altitude by 15 cm let  altitude of triangle = x base = x+15

Q: the solution that The sides of a spherical triangle measure 65°, 75°, and 1059 Find the angle…

A: Solution:

Q: n triangle ABC, angle B=50 degrees, b=14, a=18.  Solve the triangle

A: ABC, angle B=50 degrees, b=14 a=18 here we use sin rule  a/sinA = b/sinB = c/sinC

Q: 6.) Solve triangle ABC given that: a) A = 40°, B = 49°, and b = 75 b) C

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Q: The three sides of a triangle have lengths 3x,2x+4, and 5x -8. Find the value of x that makes the…

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Q: Two angles of a triangle have the same measure and the third one is 9 degrees greater than the…

A: To solve for the unknown angle(s) using the data in the problem

Q: Part C: A second triangle has angles measuring 2x°, x and x. Write an equation that can be solved to…

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Q: The second angle of a triangle is 35 more than the first angle. The third angle is three times the…

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Q: The first angle of a triangle is triple the third angle. The second angle of a triangle is 20…

A: Sum of three angles of a triangle is 180

Q: Angle A = 25°, side a = 12 cm , and side b = 20 cm . Determine whether there is one triangle, two…

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Q: a Angle A = 4x Angle B = 2x + 30 Find all 8 angles.

A: Given query is to find the all 8 indicated angles.

Q: ed angle. If the exterior angle drawn measures 150°, and the measure of ZD is twice that of ZE, find…

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Q: A parallelogram has sides of lengths 4 and 6, and one angle is 44°. What is the length of the…

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Q: 6) The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x. ) A) 20 B) 30 40 D) 50

A: We have to determine valu of X In a triangle

Q: Two students want to determine the height of a tall building. They stand on the roof of a shorter…

A: First represent the situation diagrammatically and than use the trigonometric ratio.

Q: Solve the right triangle ABC with the right angle C if Measure of angle A =60 and the side AC = 12…

A: I am going to sole the given problem by using some simple geometry to get the required result.

Q: (a) An angle measures 38°. What Is the measure of Its supplement? (b) An angle measures 51°. What Is…

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Q: The measures of the angles of a triangle are shown in the figure below. Solve for x. (5x+17)°…

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Q: 16. Two consecutive angles of a parallelogram measure 3x + 42 and 9x-18. What are the measures of…

A: Consecutive angles in a parallelogram are supplementary i.e, the sum of the 2 consecutive angles of…

Q: Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible…

A: The triangle inequality states that in a triangle, any two of the side lengths must add up to a…

Q: Two angles from a linear pair . One angle measures 2x and the other angle measures 10x find the…

A: To find the measure of the smaller angle,

Q: 6.) Solve triangle ABC given that: a) A = 40°, B = 49°, and b = 75 b) C 26.3° 24.1 A 10.5 В

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Q: Three angles of a triangle always add up to 180 degrees. What are the three angles of a triangle…

A: Given, Angle 1= 72° Let the third angle be x. Angle 3=x Given that the second angle is 3 times the…

Q: Triangle ABC has sides a, b and c. If a = 75 m, b = 100 m and the angle opposite side a is 32°, find…

A: Given that a tringle ABC has a side a, b and c. If a=75 m and b=100 m and the angle opposite side a…

Q: The angles of a triangle add up to 180 degrees. The second angle is 20 degrees larger than the…

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Q: Find the value of x. 6. 14 3x-12 21

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Q: The second angle of a triangle is 30 more than the first angle. The third angle is three times the…

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Q: Part 1 Solve the triangle if b= 4, c 10, and A = 70 degrees. Part 2 Find the area of the triangle in…

A: Area of triangle:- The area of a triangle is defined as the total region that is enclosed by the…

Q: Side CD = Side DE = Side CE = 14. ACDE is an isosceles triangle with CD = DE. If CD = 9x- 25, DE =…

A: Given:                  ∆CDE with CD=DE;   If:                     CD= 9x-25;…

Q: Find the perimeter of triangle ABC. B. Explain how to find the perimeter of triangle RST using only…

A: Given query is to find the perimeter of triangle ABC and triangle RST.

Q: Triangle ADF has a midsegment at BC and segment DF is parallel to segment BC. 3x + 1 B 8(x - 6) What…

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Q: KeyConcept Law of Cosines In AABC, if sides with lengths a, b, and care opposite angles with…

A: Consider the given triangle △ABC. Here, a=9, b=7 and c=12. We have to find the angle A, B and C.…

Q: 1. The measure of the supplement of an angle is 30 more than four times the measure of the…

A: Consider the measure of an angle is x. Supplement of an angle is 180-x. Complement of an angle is…

Q: A 15. The flag of Equatorial Guinea contains an isosceles triangle. (Recall that an isosceles…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Part A: How many triangles can be formed if the measurements of a triangle are a=27,b=15,A=55∘?…

A: Part A: How many triangles can be formed if the measurements of a triangle are a=27,b=15,A=55∘?Part…

Q: The angles of a triangle add up to 180 degrees. The second angle is 16 degrees larger than the…

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Q: Solve the triangle abc given that triangle abc is a right triangle with hypotenuse 10 cm and a = 30°

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Q: Two angles of a triangle have the same measure and the third one is 18 degrees greater than the…

A: The solution of the problem is given in the next step.

Q: d°:

A: We can solve it using the properties of circle and arc.

Q: The variable expressions represent the three angle measures of a triangle. Solve for x and find the…

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