Question

Solve for x and y in the following diagram:

A. x = 2 , y = 152
B. x = 12 , y = 15
C. x = 3 , y = 137

Answer 1

A. x = 2° , y = 152°

Explanation:

Corresponding angles are congruent.

`\therefore`

(9x + 10)° = (15x - 2)°

10° + 2° = 15x - 9x

6x = 12°

x = 2°

Sum of angles in a straight line is 180°.

`\therefore`

(9x + 10)° + y = 180°

(9 × 2 + 10)° + y = 180°

28° + y = 180°

y = 180° - 28°

y = 152°