Question

Find angle KMN: a: 20 b: 79 c: 101 d: 5 (PLEASE HELP!!)

Answer 1

C. 101°

Explanation:

We have :

m∠KMN + m∠KML = 180 (supplementary angles)

On the other hand ,

4x + 81 + m∠KML = 180 (The interior angles of a triangle add up to 180°)

Therefore

m∠KMN + m∠KML = 4x + 81 + m∠KML

Then

m∠KMN = 4x + 81

Then

13x + 36 = 4x + 81

Then

13x - 4x = 81 - 36

Then

9x = 45

Then

x = 5

…………………………………

Conclusion:

m∠KMN = 13x + 36

= 13(5) + 36

= 65 + 36

= 101