Question

PLLLLZZZZZ Help!!

Find the value of each missing variable.

x = degrees

y = degrees

z = degrees

Answer 1

Explanation:

X + 70° = 180° {angle on a straight line is equal to 180°)

X = 180 - 70

X = 110°

Y + 78° = 180°{angle on a straight line is equal 180°}

Y = 180 - 78

Y = 102°

Z + 78° + 70° + 90° = 360°

Z = 360 - 90 - 70 - 78

Z = 122°

Answer 2

∠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°