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Lines And Angles
Question
In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex angle EOC.
Solution
∵ BOA is a line
(∠AOC + ∠BOE) + ∠EOC = 180°
⇒ 70° + EOC = 180°
⇒ ∠EOC = 110°
⇒ Reflex ∠EOC = 360° - 110° = 250°
Some More Questions From Lines and Angles Chapter
In figure, if y = 20°, prove that the line AOB is a straight line.
In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex angle EOC.
In figure, lines PQ and RS intersect each other at point O. If ∠POR : ∠ROQ = 5 : 7, find all the angles.
In figure, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.
If the complement of an angle is one-third of its supplement, find the angle.
In figure, find the value of x.
In figure, if ∠POR and ∠QOR form a linear pair and a - b = 80° then find the value of a and b.
What value of x would make XOY a line if ∠XOZ = 7x + 20° and ∠YOZ = 3x in figure.
Two supplementary angles are in the ratio 4 : 5. Find the angles.
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Mock Test Series
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