Question

6. Find the value of each missing variable.

7. Lol
80
900
degrees
Xx N
degrees
degrees

Answer 1

∠x = 110°

∠y = 102°

∠z = 82°

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°