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
How many pairs of adjacent angles are formed when two lines intersect in a point?
In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. 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°
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
In the given figure, the value of y is
In the given figure, which of the following statements must be true?
(i) a + b = d + c
(ii) a + c + e = 180°
(iii) b + f = c + e
Give two examples of parallel lines you can see in your environment.
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 lines in a plane which do not meet at a point anywhere are called ______ lines.
In the example of a 'Zebra crossing,' what feature specifically exemplifies the constant distance property of parallel lines?
