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1 vote
The figure is not drawn to scale.

If m<2=39 and m<3=30, what is m<1?
A)111
B)86
C)71
D)69

The figure is not drawn to scale. If m<2=39 and m<3=30, what is m<1? A)111 B-example-1
User HEngi
by
8.3k points

2 Answers

5 votes

Answer:

D

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠1 is an exterior angle, thus

∠1 = ∠2 + ∠3 = 39 + 30 = 69° → D

User Hildensia
by
8.8k points
1 vote

Answer:

○ 69°

Explanation:

Since you have two angle measures defined, use the Triangular Interior Angles Theorem to find the third angles measure:


180° = m∠3 + m∠2 + m∠1

180° = 30° + 39° + m∠4

|________|

180° = 69° + m∠4

-69° - 69°

__________________

111° = m∠4

Then, since m∠4 forms a linear pair with m∠1, use the Supplementary Angles Theorem:


180° = 111° + m∠1

- 111° - 111°

________________________

69° = m∠1

I am joyous to assist you anytime.

User Anton Kochkov
by
8.0k points

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