10. In the figure given alongside, AOB is a straight line. Find
the value of x and also answer each of the following:
ZAOP =
10
O
() ZBOP =
2 + 30-
x - 304
(17) which angle is obtuse ?
Tiv) which angle is acute ?
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Answer:
Step-by-step explanation:
∠AOP = x + 30°∠BOP = x – 30°But ∠AOP + ∠BOP = 180° ∵ ∠AOB is a straight angle⇒ x + 30°+ x - 30° = 180°⇒ 2x = 180°⇒ x = 90°i ∠AOP = x + 30° = 90° + 30° = 120°ii ∠BOP = x- 30° = 90° – 30° = 60°iii ∠AOP is an obtuse angleiv ∠BOP is an acute angle
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