Angle ∠1 and ∠6 are alternative angles so ∠6 = 121° while angles ∠7 and ∠6 are supplementary angles so ∠7 = 59°.
What is an angle?
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that,
Two parallel lines are cut by transversal
Angle ∠1 and ∠6 are alternative angles and we know that the alternative angle is always the same.
Since ∠1 = 121° so ∠6 = 121°
Now,
Angles ∠7 and ∠6 are supplementary angles and we know that supplementary angles are angles whose sum is 180 degrees.
So,
∠7 + ∠6 = 180°
∠7 + 121° = 180°
∠7 = 59°
Hence "Angle ∠1 and ∠6 are alternative angles so ∠6 = 121° while angles ∠7 and ∠6 are supplementary angles so ∠7 = 59°".
For more about the angle,
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