The value of ∠1 = 58°
What is the exterior angle theorem ?
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
In the given figure the exterior angle is 117°
and one of the opposite interior angle is 59°
According to the theorem
Exterior Angle = Sum of opposite interior angles
To determine the value of angle 1
117° = 59° + ∠1
∠1 = 117°-59°
∠1 = 58°
Therefore the value of ∠1 = 58°
To know more about Exterior Angle Theorem
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