Question

I need the answer to this question ASAP please help me out.

Thank You.

Answer 1

We can Notice that : m∠3 and m∠4 make a Linear Pair

We know that : Sum of Angles involved in forming Linear Pair = 180°

⇒ m∠3 + m∠4 = 180°

Given : m∠3 = 8x - 27 and m∠4 = 2x + 17

⇒ 8x - 27 + 2x + 17 = 180°

⇒ 10x - 10 = 180°

⇒ 10x = 190°

⇒ x = 19°

⇒ m∠3 = (8x - 27) = 8(19) - 27 = 152° - 27° = 125°