Question

M<2 = 34. Find m<4 and explain how you know.

Answer 1

Answer:

m<4 = 34°

Step-by-step explanation:

m<2 = 34° (given)

m<3 + m<2 = 180° (linear pair)

m<3 + 34° = 180° (substitution)

Subtract 34° from each side

m<3 = 180° - 34°

m<3 = 146°

m<4 + m<3 = 180° (linear pair)

m<4 + 146° = 180° (substitution)

Subtract 146° from each side

m<4 = 180° - 146°

m<4 = 34°

This shows that vertical angles are congruent.

m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.