Question

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 4 is 43 degrees, then the measure of angle 6 is 43 degrees and the measure of angle 5 is ______ degrees. The measure of angle 8 is 43 degrees and the measure of angle 1 is _____ degrees.

Answer 1

angle 5 is 137 degrees

angle 1 is 137 degrees

Explanation:

angle 5 and 6 are supplementary angles meaning together they add up to 180 degrees. to find angle 5 you must find the difference:

`180-43=137`

so angle 5 is 137 degrees.

likewise, angle 1 and angle 4 are supplementary angles. find the difference:

`180-43=137`

so angle 1 is also 137 degrees.