Answer:
angle 3 is 33 degrees.
Explanation:
complementary angle-adds up to 90 degrees
supplementary angle- adds up to 180 degrees.
if angle 1 is 123, then angle two is 180-123 degrees(57)
if angle two is 57 degrees, angle 3 is 90-57 degrees (33)
Since ∠1 and ∠2 are supplementary the sum of their angles is 180°
So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2
So we have
∠1 + ∠2 = 180
∠2 = 180 - ∠1
From the question
m∠1 = 123°
∠2 = 180 - 123
∠2 = 57°
From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°
That's
∠2 + ∠3 = 90
∠3 = 90 - ∠2
∠3 = 90 - 57
We have the final answer as
Hope this helps you
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