Question

Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°

Answer 1

x = 48

Explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

Answer 2

B

Explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.