The measure of the angles are;
angle 1 = 35°
angle 2 = 145°
angle 3 = 55°
angle 4 = 125°
angle 5 = 55°
The diagram consist of two similar triangles
Therefore;
angle 1 = 35° ( corresponding angles)
angle 2 = 180 - angle 1 ( angles on a straight line)
angle 2 = 180 - 35 = 145°
angle 3 = 180 - (90+35)
= 180 - 125 = 55°
angle 4 = 90 + 35( exterior angle theorem)
angle 4 = 125°
angle 5 = angle 3( corresponding angles)
angle 5 = 55°
Generally the sum of angle in a triangle is 180°