Question

Find the value of each variable

Answer 1

∠Z = 73°

∠Y = 101°

Explanation:

∠Z° and ∠107 are supplementary angles so their sum is equal to 180°.

∠Z + 107 = 180

• Subtract 107 from both sides.

∠Z = 73°

The sum of interior angles in the given rectangle is equal to 360°.

To find the value of y we need to add all measures.

y + 73 + 102 + 84 = 360

• Add like terms.

y + 259 = 360

• Subtract 259 from both sides.

y = 101