The angles are 42⁰ and 138⁰.
What is Alternate interior angle?
Alternate interior angles lie on the interior side of the parallel lines and are on the opposite side of the transversal.
Here, the given alternate interior angles are:
(x+1)⁰ and (4x - 26)⁰
Sum of alternate interior angle is 180⁰.
(x+1)⁰ + (4x - 26)⁰ = 180⁰
x + 1 + 4x - 26 = 180
5x - 25 = 180
5x = 180 + 25
5x = 205
x = 205 / 5
x = 41
then, (x+1)⁰ = (41+1)⁰ = 42⁰
and (4x-26)⁰ = (4 X 41 - 26)⁰
= (164 - 26)⁰
= 138⁰
Thus, the angles are 42⁰ and 138⁰.
Learn more about alternate interior angle from:
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