Question

If a || b, m<2 =63°, and m<9=105°, find the measure of this missing angle m<4=?

Answer 1

42 = angle 4

Explanation:

angle 9 and angle 7 are vertical angles therefore they are both equal to each other and are 105 degrees.

angle 2 and angle 5 are vertical angles, so they are both 63 degrees.

angle 7 and the sum of angles 5 and 4 are alternate interior angles, so they are congruent, giving us the equation:

105 = angle 4 + 63

42 = angle 4