Question

find the measure of angle c.
62° c 34°
62° 34°
c = ?°

Explanation:

Step1: Use the property of parallel lines and alternate - interior angles

Since the two lines are parallel, the alternate - interior angles are equal. The angles \(62^{\circ}\) and \(62^{\circ}\), \(34^{\circ}\) and \(34^{\circ}\) are alternate - interior angles.

Step2: Use the angle - sum property of a straight line

The sum of angles on a straight line is \(180^{\circ}\). Let the measure of angle \(c\) be \(x\). Then \(62^{\circ}+x + 34^{\circ}=180^{\circ}\) (angles on a straight line).

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(84\)