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

D

Step-by-step 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

○ 69°

Step-by-step explanation:

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

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:

- 111° - 111°

________________________

69° = m∠1

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