Question

For the figure shown on the right, find the value

of the variable and the measures of the angles.
PLS HELP THIS IS DUE TODAY!!!! :(

Answer 1

x = 40 m∠Q = 105° m∠R = 40° m∠P = 35°

Explanation:

sum of angles in a triangle equal 180°

m∠Q + m∠R + m∠P = 180°

2x + 25 + x + x - 5 = 180°

Solve for X

4x + 20 = 180

4x = 160

x = 40

Solve for each angle measure

m∠Q = 2x + 25

m∠Q = 2(40) + 25 = 80 + 25 = 105°

m∠R = x

m∠R = 40°

m∠P = x - 5

m∠P = 40 - 5 = 35°