Question

If angle 3 is 142°, find angles 1, 2 and 4. Show your work.
PLEASE HELP - 60 POINTS

Answer 1

m<1=m<2 = 38°

m<3= m<4= 142°

Answer 2

Angles 1 and 2 are vertically opposite and angles 3 and 4 are vertically opposite and as such the are congruent.

• m∠3 = 142° ⇒
• m∠4 = m∠3 = 142°

Angles 1 and 3 are supplementary and angles 2 and 4 are supplementary and as such sum to 180°.

• m∠1 = 180° - 142° = 38°
• m∠2 = m∠1 = 38°