find the measure of angle a. use alternate interior angles. a = ?°
find the measure of angle a. use alternate interior angles. a = ?°
Answer
Explanation:
Step1: Recall angle - sum property of a triangle
The sum of interior angles of a triangle is 180°.
Step2: Let's find the third - interior angle of the triangle
Let the third - interior angle of the triangle be (x). We know that (x+62^{\circ}+34^{\circ}=180^{\circ}). So, (x = 180^{\circ}-(62^{\circ}+34^{\circ})=180^{\circ}-96^{\circ}=84^{\circ}).
Step3: Use alternate interior angles
Angle (a) and the third - interior angle of the triangle are alternate interior angles. Since alternate interior angles are equal when two parallel lines are cut by a transversal, (a=x).
Answer:
(84)