Question

What is the measure of Angle z in this figure?

Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 124 degrees, x degrees, y degrees, and z degrees.

Remember the formula for finding the missing degree in a straight line (with two supplementary angles)? Use ∠1 + ∠2 = 180∘

Tip: Use z° and 124°.

124°
90°
180°
56°

Answer 1

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

According to given question, Angle z and 124° forms linear pair,

so,

`\qquad \sf  \dashrightarrow \: 124 \degree + z = 180 \degree`

`\qquad \sf  \dashrightarrow z = \: 180 \degree - 124\degree`

`\qquad \sf  \dashrightarrow z = \: 56 \degree`