Question

A, O and B lie on a straight line segment where a = 24°, b = 33° and c = 22°.

State the value of the angles:

i) ∠AOB
ii) acute ∠ZOB
iii) acute ∠XOY
iv) acute ∠AOY
v) obtuse ∠YOZ

The diagram is not drawn to scale.
Please answer!!
The person who answers will get 30 points!

Answer 1

i) 180°.

ii) 75°.

iii) 44°.

iv) 56°.

v) 49°.

Explanation:

I had this question on a Hegarty Maths tasks and used the answer from somebody else, but when it told me the correct answers I thought I would put them up :)!

Answer 2

i) ∠AOB - 180°

ii) acute ∠ZOB - 22°

iii) acute ∠XOY - 33°

iv) acute ∠AOY - 57°

v) obtuse ∠YOZ - 101°