Question

In the figure, transversal t intersects the parallel lines a and b, and is 64.76°.

Answer 1

If you're on treca and need help, here is the image. The measure of angle 4 corresponds with angle 1, so it would measure 64.76. To get the measure of angle 6, subtract 64.76 from 180. You get 115.24.

Therefore,

4= 64.76

6= 115.24

Answer 2

<4+<5=180 because they're corresponding angles
<4=180-<5 Solving for angle 5.
<5+<8=180 because they're supplementary because they're on the same line.
<8=<4=180-<5 transitive property of equality