1. Find m1
[] 30
[] 33
[] 57
[] 63
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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
Answer:
A.30 degrees
Step-by-step explanation:
We are given that a triangle in which
[tex]m\angle 2=117^{\circ}[/tex]
[tex]m\angle 3=33^{\circ}[/tex]
We have to find the value of [tex]m\angle 1[/tex]
We know that
[tex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]
Sum of angles of a triangle =180 degrees
[tex]m\angle 1+117+33=180[/tex]
[tex]m\angle 1+150=180[/tex]
[tex]m\angle 1=180-150=30[/tex]
[tex]m\angle 1=30^{\circ}[/tex]
Hence, option A is true .