Question

In the triangle below,∠1= 35° and ∠6 = 70°. WHat is the measurement of ∠4?

∠4= ?°

Answer 1

145°

Explanation:

< 6 + <2 = 180° {being linear pair }

70° + < 2 = 180°

< 2 = 180° - 70°

< 2 = 110°

Now

< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)

<4 = 35° + 110°

= 145°

Hope it will help :)