Question

1. given the diagram below, the m∠3 is 124°. find and m∠4, m∠6, m∠7 and m∠8. m∠4= degrees m∠6= degrees m∠7= degrees m∠8= degrees

Explanation:

Step1: Find m∠4

∠3 and ∠4 are vertical - angles. Vertical angles are equal.
m∠4 = m∠3 = 124°

Step2: Find m∠6

∠3 and ∠6 are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal.
m∠6 = m∠3 = 124°

Step3: Find m∠7

∠3 and ∠7 are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.
m∠7 = m∠3 = 124°

Step4: Find m∠8

∠3 and ∠8 are same - side exterior angles. Same - side exterior angles are supplementary (their sum is 180°).
m∠8=180° - m∠3 = 180° - 124° = 56°

Answer:

m∠4 = 124 degrees
m∠6 = 124 degrees
m∠7 = 124 degrees
m∠8 = 56 degrees