Advertisements
Advertisements
Question
In the below fig, lines PQ and RS intersect each other at point O. If ∠POR: ∠ROQ − 5 : 7,
find all the angles.
Solution
Given `∠`POR and `∠`ROP is linear pair
`∠`POR + `∠`ROP = 180°
Given that
`∠`POR : `∠`ROP = 5 : 7
∴ `∠`POR =`5/12`× ´180 = 75°
Similarly `∠`ROQ = `7/(5+7)` ×180° = 105°
Now, `∠`POS = `∠` ROQ = 105° [ ∵ Vertically opposite angles]
∴ `∠`SOQ = `∠`POR = 75° [ ∵ Vertically opposite angles]
APPEARS IN
RELATED QUESTIONS
How many pairs of adjacent angles are formed when two lines intersect in a point?
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
Two straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
In the given figure, the value of x is ______.
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC =
Mention two real life situations where we use parallel lines
Two parallel lines meet each other at some point.
