Question

Two lines meet at a point that is also the endpoint of two rays. Set up and solve the appropriate equations to solve for the values of angles x and y.

Answer 1

`x = 19^(\circ)` and
`y = 53^(\circ)`

Explanation:

According to the figure, x is part of a complementary angle and y is from a supplementary angle:

`71^(\circ) + x = 90^(\circ)`

`x = 19^(\circ)`

`37^(\circ) + 71^(\circ) + x + y = 180^(\circ)`

`y = 53^(\circ)`