Answer:
x = 22
y = 26
z = 48
Explanation:
ΔSPR is isosceles, meaning two angles are equal, as indicated.
one base angle is 66, meaning the other one is also 66.
alternate angles are equal ; angle Q = angle S = 22 = x
To find the other angle of the triangle below, add 22 and 66 and subtract from 180 to get 92.
vertically opposite angles are equal ; 92
88 88
92
the triangle on the upper right has 92, 22, and the missing angle which is 66.
the upper left triangle has 88, 66 and the missing which is 26 = y
the straight line above(PQ), now has 66, 66 and the missing one .add , then take away from 180 to get 48 = z