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!!