Question

Find the missing values of the variables. The diagram is not to scale.

125°
yº
124/xº
65°
a. x = 124, y
= 125
b. x 56, y 114
C. X =
114, y = 56
d. X =
56,y
= 124
e. X = 56,y
= 125

Answer 1

b. x = 56; y = 114

Explanation:

✅124° + x° = 180° (linear pair/angles on a straight line)

Subtract 124° from each side

124° + x - 124° = 180° - 124°

x = 56°

✅x + y + 125° + 65° = 360° (sum of interior angles of a quadrilateral)

plug in the value of x

56 + y + 125 + 65 = 360

246 + y = 360

Subtract 246 from each side

246 + y - 246 = 360 - 246

y = 114°