Question

In the figure, j∥k and m∠7 = 65°. What is the m∠6 ? Enter your answer in the box. °

Answer 1

The measure of ∠6 = 115 ° .

Explanation:

As given

j is parallel to k and t is the transversal passing through j and k .

m∠7 = 65°

Thus

∠ 7 and ∠ 6 are supplementary angles .

∠7 + ∠6 = 180°

65° + ∠6 = 180°

∠6 = 180° - 65 °

∠6 = 115 °

Therefore the measure of ∠6 = 115 ° .

Answer 2

Angles ∠ 6 and ∠ 7 are supplementary:
∠ 6 + ∠ 7 = 180°
∠ 6 + 65° = 180°
∠ 6 = 180° - 35°
Answer:
∠ 6 = 115°