in a diagram, angle 3 and angle 5 are vertical pairs, and angle 4 is a supplementary angle with angle 5. if m-angle 3 = 67°, what equations can you write to solve for m-angle 4?
m-angle 4 + ___° = ___°
The equations are:
m-angle 3 + m-angle 5 = 180° (sum of angles in a supplementary pair)
m-angle 3 = 67° (given)
So we have:
67° + m-angle 5 = 180°
m-angle 5 = 180° - 67° = 113°
m-angle 4 + 113° = 180°
m-angle 4 = 180° - 113° = 67°
Therefore, m-angle 4 = 67°.