Lines m and n are parallel. Find angle 3 if ∠1 = 22 °, ∠2 = 72 °.
| August 14, 2021 | education
We denote by ∠4.
Since the lines m and n are parallel, then ∠2 = ∠4 as criss-crossing angles at the intersection of parallel lines m and n secant with, ∠2 = ∠4 = 72.
The sum of the angles ∠1 + ∠3 + ∠4 = 180, since the unfolded angle is formed.
Then the angle ∠3 = 180 – ∠4 – ∠1 = 180 – 22 – 72 = 86.
Answer: The angle ∠3 is 86.
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