Question

Find the measure. M<1,m<2,m<3

Answer 1

Answer:

C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°

Step-by-step 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°