Question

In the figure, j∥k and m∠7 = 65°. What is the m∠6 ? Enter your answer in the box. ° Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise

Answer 1

Answer:

115

Step-by-step explanation:

Answer 2

Answer:

115°

Step-by-step explanation:

See the attached diagram for this answer.

Line j and Line k are parallel to each other and Line t crosses them diagonally.

Now, the angles formed are named according to the problem.

Here, angle ∠ 7 is given to be 65° and we have to find the angle ∠ 6.

Now, line t being a straight line, ∠ 7 and ∠ 6 are supplementary and

∠ 6 + ∠ 7 = 180°

⇒ ∠ 6 + 65° = 180°

⇒ ∠ 6 = 180° - 65°

⇒ ∠ 6 = 115° (Answer)