Question

Find the value of x and the value of y.

A. x = 130, y = 50
B. x = 135, y = 45
C. x = 140, y = 40
D. x = 145, y = 35

Answer 1

B. x = 135, y = 45

Explanation:

x° + y° = 180° {suplementary angles}

x° = 3y° {corresponding angles by parallel lines}

So:

3y° + y° = 180°

4y° = 180°

y° = 45°

y = 45

x° = 3×45° = 135°

x = 135