Question

the answer of this question

Answer 1

Answer:

Measure of angle LMC is 115°

Step-by-step explanation:

You are given with the measure of angle A that is 50°.

By using angle sum property of a triangle in triangle ALM:-

50+ x +x = 180° (Since AB = AC and LM is parallel to BC) (and angles opposite to equal sides of a triangle are equal)

50 + 2x= 180°

2x = 180°- 50°

x = 130/2

x= 65°

Now, angle AML that is 65° form a linear pair with angle LMC,

So,

65°+ x = 180° (Linear Pair)

x= 180°- 65°

x= 115°

So, angle LMC is 115°.

I hope my answer is correct.