Question

1. Find m1 [] 30 [] 33 [] 57 [] 63

Answer 1

Answer:

A.30 degrees

Step-by-step 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