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In triangle QRS, Q = (8x), m/R = (14x+2)°, and m/S= (10x +50)°. What is the measu

A. 4°
B. 32°
C. 58°
D. 90°
Please select the best answer from the choices provided
OA
OB
D

In triangle QRS, Q = (8x), m/R = (14x+2)°, and m/S= (10x +50)°. What is the measu-example-1
User Jochen
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1 Answer

2 votes

Answer:

C. 58 degrees

To find the measure of angle R in triangle QRS, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given:

Q = 8x

m/R = 14x + 2 degrees

m/S = 10x + 50 degrees

The sum of angles Q, R, and S is 180 degrees:

Q + R + S = 180

Substituting the given values:

8x + (14x + 2) + (10x + 50) = 180

Simplifying the equation:

8x + 14x + 2 + 10x + 50 = 180

32x + 52 = 180

32x = 180 - 52

32x = 128

x = 128/32

x = 4

Now that we have the value of x, we can substitute it back into the given expressions to find the measures of angles Q, R, and S.

Q = 8x = 8 * 4 = 32 degrees

m/R = 14x + 2 = 14 * 4 + 2 = 58 degrees

m/S = 10x + 50 = 10 * 4 + 50 = 90 degrees

Therefore, the measure of angle R is 58 degrees. So, the correct answer is C. 58°.

I hope you do great and pass this Unit test!!

User RobClucas
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8.2k points