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

Answer:

$x = 19^{\circ}$ and $y = 53^{\circ}$

Step-by-step explanation:

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

$71^{\circ} + x = 90^{\circ}$

$x = 19^{\circ}$

$37^{\circ} + 71^{\circ} + x + y = 180^{\circ}$

$y = 53^{\circ}$