Question

What is the measure of angle z in this figure? Enter your answer in the box. z = ° 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.

Answer 1

x= 56, y= 124 z=56 because they are vertical angles

Answer 2

The angles in the intersecting lines are as follows:

∠x = 56°

∠y = 124°

∠z = 56°

Vertical angles:

Vertical angles are pairs of opposite angles formed by intersecting lines. Vertical angles are equal.

The angles formed in the intersecting line are in clockwise direction as follows;

• 124°
• x°
• y°
• z°

This simply means 124° angle is vertical to angle y. Therefore,

y = 124°

Sum of angle at a point = 360

∠x and ∠z are vertically opposite angles. Therefore,

∠x = ∠z

∠x = 360 - 2(124) / 2= 360 - 112 / 2 = 56°

Therefore,

∠x = 56°

∠y = 124°

∠z = 56°

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