asked 96.5k views
2 votes
Find M<1
A.
43
B.
69
C.
137
D.
180

Find M<1 A. 43 B. 69 C. 137 D. 180-example-1
asked
User Lefterav
by
7.5k points

2 Answers

4 votes
To solve the problem shown in the figure attached, you must remember the "Exterior Angle Theorem", which says that measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles.

Keeping the information above on mind, you have:

m∠1=34°+103°
m∠1=137°

Therefore, you can conclude that the correct answer is the option C, which is:

C. 137°
answered
User Javier Ferrero
by
8.3k points
2 votes
Answer:
137°

Step-by-step explanation:
In any triangle, the measure of the exterior angle is equal to the summation of the measures of the other two non-adjacent angles.

In the given triangle:
Angle 1 is an exterior angle.
The measures of the non-adjacent angles are 103° and 34°

Based on the above theorem:
measure angle 1 = 103 + 34 = 137°

Hope this helps :)
answered
User JohnRobertPett
by
8.2k points

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