The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.
So, the equation used to find angle m is 2x = 108.
n = 62°
I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.
Then, angles r and p form a linear pair so they are equal to 180°.
Knowing that r = 108°, p must be 72°.
Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.
In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.
From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:
