Answer:
x = 72° , y = 54°
Explanation:
x and 108° are adjacent angles on a straight line and sum to 180°
x + 108° = 180° ( subtract 108° from both sides )
x = 72°
The vertex of the triangle on the left is vertically opposite x and is congruent
vertex = 72°
The sum of the 3 angles in the triangle = 180° , that is
y + y + 72° = 180°
2y + 72° = 180° ( subtract 72° from both sides )
2y = 108° ( divide both sides by 2 )
y = 54°