Question

What values for x would make the lines parallel?

Answer 1

Answer:

x = 15  degrees

3 angles in triangle are 44, 44 and 92 degrees.

Step-by-step explanation:

When the lines are parallel the internal angles add up to 180 degrees. So:-

8x + 7 + 2x + 23 = 180

10x + 30 = 180

10x = 150

x = 15

In the triangle:-

The angle adjacent to 136 = 180 - 136

= 44 degrees.  As 2 sides of the triangle are congruent the other base angle = 44 degrees also.

The third angle = 180 - 2(44) =  92 degrees