Question

Find the m< 1 if m< 1 =(5x)° and m<4= (2x +90)°.

Answer 1

∠ 1 = 150°

Explanation:

∠ 1 and ∠ 4 are vertically opposite angles and are congruent , that is

5x = 2x + 90 ( subtract 2x from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Then

∠ 1 = 5x = 5 × 30 = 150°