Question

I need help please ​

Answer 1

Explanation:

7) ∠1 + 30 = 180 {linear pair}

∠1 = 180 - 30

∠1 = 150

8) ∠2 = 30 {Vertically opposite angles are congruent}

9) In ΔLMN,

∠L + ∠N + ∠M = 180 {angle sum property of triangle}

50 + 30 + ∠M = 180

80 + ∠M = 180

∠M = 180 - 80

∠M = 100°

10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.

∠B + ∠A = ∠BCD

30 + ∠A = 80

∠A = 80 - 30

∠A = 50