Question

Find M<1
A.
43
B.
69
C.
137
D.
180

Answer 1

Answer:
137°

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 :)

Answer 2

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°