Answer:
C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Explanation:
In the given figure. There are two triangles. We have to use the concept of the sum of interior angles of a triangle is 180°.
So,
m∠2 + 45° + 59° = 180
m∠2 + 104° = 180°
m∠2 = 180° -104°
m∠2 = 76°
m∠1 and 45° are the opposite angles. When two lines are intersection each there, then the opposite angles must be equal.
Therefore, m∠1 = 45°
m∠1 + m∠3 + 55° = 180
45° + m∠3 + 55° = 180°
m∠3 + 100° = 180°
m∠3 = 180° -100°
m∠3 = 80°
Therefore, m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Answer is C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°