Question

What values for x would make the lines parallel?

Find the measure of the missing angles in the triangle.

Answer 1

x = 15 degrees

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

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