Question

Find the measure of ∠M. A) 14° B) 24° C) 26° D) 36°

Answer 1

I think the answer is D)36

Answer 2

Option D.

Explanation:

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180°.

From the given figure it is clear that

`\angle A=60^(\circ),\angle S=84^(\circ)`

Using angle sum property we get

`\angle A+\angle S+\angle M=180^(\circ)`

Substitute the given values in the above equation.

`60^(\circ)+84^(\circ)+\angle M=180^(\circ)`

`144^(\circ)+\angle M=180^(\circ)`

`\angle M=180^(\circ)-144^(\circ)`

`\angle M=36^(\circ)`

Therefore, the correct option is D.