Question

find the measure of the missing angles.
answer
x = \square^\circ \quad y = \square^\circ

Explanation:

Step1: Find the value of \(x\)

Since the two lines are perpendicular (right - angle), and one of the angles within the right - angle is \(29^{\circ}\). Using the property that the sum of angles in a right - angle (\(90^{\circ}\)) gives \(x = 90^{\circ}-29^{\circ}\).

$$x=90 - 29=61^{\circ}$$

Step2: Find the value of \(y\)

The sum of angles around a point on a straight line is \(180^{\circ}\). One of the angles on the straight line is \(90^{\circ}\) (right - angle) and \(x = 61^{\circ}\). So \(y=180^{\circ}-90^{\circ}-61^{\circ}\).

$$y = 180-(90 + 61)=29^{\circ}$$

Answer:

\(x = 61^{\circ}\), \(y = 29^{\circ}\)