Question

What is the value of the angle marked m?
Note: m is not a straight line!

Answer 1

m = 145 °

Explanation:

In the given figure XYZO

∠X + ∠Y + ∠Z + ∠XOZ = 360°

∠XOZ = 360 ° - 33 ° - 22 ° - 90 °

= 360 ° - 145 °

= 215 °

∠ m + ∠ XOZ = 360 °

∠m = 360 ° - 215 °

= 145 °