Question

12.
Find x and y in trapezoid TRAP below.

Answer 1

x = 115 , y = 40

Explanation:

in a trapezoid

• each lower base angle is supplementary to the upper base angle on the same side.

∠ ART = 40° + 25° = 65°

then

∠ PAR = 180° - ∠ ART = 180° - 65° = 115° , so

∠ PAR = x = 115

the sum of the 3 angles in Δ PAR = 180° , that is

x + y + 25 = 180

115 + y + 25 = 180

140 + y = 180 ( subtract 140 from both sides )

y = 40