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2. In the figure, is an exterior angle to .
(a) Explain why is equal to the sum of the measures of the two nonadjacent interior angles.
(b) What is ?
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(a)
1+2+3=180 as these are the angles of a triangle
3+4=180 as these are linear pairs
From these two equarions we get 1+2=4
This means that exterior angle is equal to the sum of the two nonadjacent angles
(b)
1+2+3=180
So 3=180-(52+25)
=180-77
=103
Angle 4=77
1+2+3=180 as these are the angles of a triangle
3+4=180 as these are linear pairs
From these two equarions we get 1+2=4
This means that exterior angle is equal to the sum of the two nonadjacent angles
(b)
1+2+3=180
So 3=180-(52+25)
=180-77
=103
Angle 4=77
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