To find the measure of angle 1 in this triangle, we can use the Triangle Exterior Angle Theorem.
The two remote interior angles that we will use are angles 2 and 3, which add up to 180 degrees since they are supplementary.
So, angle 1 (the exterior angle) is equal to the sum of angles 2 and 3.
Let's say angle 2 = x and angle 3 = y.
Therefore, x + y = 180.
Plugging in the values given in the problem (angle 2 = 92 degrees and angle 3 = 44 degrees), we get:
x + y = 180
92 + 44 = 180
x = 92
y = 44
Therefore, angle 1 = 92 + 44 = 136 degrees.
Therefore, the correct answer is A. 136°.
Review the steps below and try a problem yourself.
Identify the angles you will use.
The Triangle Exterior Angle Theorem states that the sum of the two remote interior angle measures equals the measure of the exterior angle.
Solve for the missing angle measure.
Giant Panda 1
Find m∠1
A.
136°
B.
115°
C.
156°
D.
144°
1 answer
3 answers