Advertisements
Advertisements
प्रश्न
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
Advertisements
उत्तर
Given: `∠`AOC + `∠`COB + `∠`BOP = 270°
To find: `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA
Here, `∠`AOC + `∠`COB + `∠`BOD + `∠`AOD = 360° [Complete angle]
⇒ 270 + `∠`AOD = 360°
⇒ `∠` AOD = 360° - 270°
⇒ `∠`AOD = 90°
Now,
`∠`AOD + `∠`BOD = 180° [Linear pair]
90 + `∠`BOD = 180°
⇒ `∠`BOD = 180° - 90°
∴ `∠`BOD = 90°
`∠`AOD = `∠`BOC = 90° [Vertically opposite angles]
`∠`BOD = `∠`AOC = 90° [Vertically opposite angles]
APPEARS IN
संबंधित प्रश्न
In the below fig, lines �1 and �2 intersect at O, forming angles as shown in the figure. If x = 45, Find the values of x, y, z and u.
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
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 y is
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC =
Look at the picture given below. Decide whether the lines given in picture is parallel or perpendicular to each other and write the answer in the box.
Two parallel lines meet each other at some point.
Which symbolic notation correctly represents the statement 'Line m is parallel to Line n?'
