The required angle is 135.
What is a consecutive interior angle ?
Consecutive interior angles are pairs of angles that are between two lines and on the same side of the line that passes through the two lines.
The theorem states that subsequent interior angles are complementary to one another if two lines are parallel.
The successive internal angles are a pair of angles on one side of the transversal and inside the two lines that make up a transversal that cuts two lines.
On the inner sides of the transversal, interior angles that are consecutive are formed.
These angles are also known as co-interior angles or same-side interior angles. Any two parallel lines that a transversal crosses will result in a variety of angles, such as sequential, matched, and alternate interior and exterior angles.
Given that, two consecutive angles are (9x+36) and 45
(9x+36)+ 45= 180
9x = 99
x = 11
So,
(9x+36)= 135
The required angle is 135.
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