Question

1. Find m1

[] 30
[] 33
[] 57
[] 63

Answer 1

A.30 degrees

Explanation:

We are given that a triangle in which

`m\angle 2=117^(\circ)`

`m\angle 3=33^(\circ)`

We have to find the value of
`m\angle 1`

We know that

`m\angle 1+m\angle 2+m\angle 3=180^(\circ)`

Sum of angles of a triangle =180 degrees

`m\angle 1+117+33=180`

`m\angle 1+150=180`

`m\angle 1=180-150=30`

`m\angle 1=30^(\circ)`

Hence, option A is true .

Answer 2

Triangle Angle-Sum Theorem: The sum of the measures of interior angles is equal to 180°.

Then

m∠1+117°+33°=180°,

m∠1+150°=180°,

m∠1=180°-150°,

m∠1=30°.

Answer: option A