The angles of the unknown sides are as follows:
How to find angles in intersecting lines?
m∠8=34,
m∠9=40
m∠3=62
Therefore, the sum of angle in a triangle is 180 degrees.
We have to use the principle of sum of angle of a triangle and the vertical opposite angles.
Vertically opposite angles are congruent.
m∠1 = 180 - m∠8 + m∠9 (vertically opposite angles)
m∠1 = 180 - 34 - 40
m∠1 = 106°
Therefore,
m∠2 = 180 - m∠1 (sum of angles on a straight line)
m∠2 = 180 - 106
m∠2 = 74°
learn more on angles here:https://brainly.com/question/14628099
#SPJ1
