The value of x° is 42° .
What is alternate interior angles?
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°
According to the question
A diagonal walkway cuts through a park bordered by two parallel streets.
I.e street are parallel to each other
and walkway is transversal line between street
Angle at meeting point of street and walkway = 132°
As, sum of alternate interior angles all always = 180°
Now,
Same side of walkway other angle between street and walkway is
= 180° - 132°
= 48°
As, Sum of angle of triangle is 180° .
90° + 48° + x° = 180°
x° = 42°
Hence, the value of x° is 42° .
To know more about alternate interior angles here:
https://brainly.com/question/18304277
#SPJ2
