Answer:
∠x = 110°
∠y = 102°
∠z = 82°
Step-by-step explanation:
- the measure of 70 and ∠x are on the straight angle and they are both equal 180°
x = 180 - 70 = 110
∠x = 110°
- the measure of 78 and ∠y are on the straight angle and they are both equal 180°
y = 180 - 78 = 102
∠y = 102°
- the sum of the interior angles of a quadrilateral is 360°
- the measure of fourth angle = the sum of the interior angles - the sum of third angles
z = 360 - (78 + 90 + 110) = 82
∠z = 82°
