Question

Two lines meet at a point that is also the vertex of an angle. Set up and solve an appropriate equation for and .

Answer 1

Y=74, x=106.

Explanation:

First, if you will notice, that 16+Y=90. Why? Because there is a square instead of a semicircle at the angle, which means that 16+Y=90. 90-16=74, so Y is 74. Then, we see that 90 plus an unknown angle equals x. But, using a rule of geometry, we know that the unknown angle is 16. So, x=90+16, and since 90+16 is 106, we get Y=74, X=106.