Question

Find M<1

A.30
B.33
C.57
D.63

Answer 1

Answer: A .30°

Explanation:

In the given figure , we are given measures two angles of triangles as
`117^(\circ)` and
`33^(\circ)` .

The Angle sum property of triangle says that the sum of all the angles in a triangle is 180°.

Using Angle sum property , we have

∠1+117+33°=180°

⇒∠1+150°=180°

⇒∠1=180°-150°=30° [Subtract 150° from both sides.]

hence, the measure of m∠1 = 30°

Answer 2

The 3 inside angles of a triangle equal 180 degrees.

Angle 1 = 180 - 117 - 33 = 30

The answer is A. 30