Advertisements
Advertisements
प्रश्न
In the below fig, rays AB and CD intersect at O
Determine x when y =40
Advertisements
उत्तर १
Given y = 40°, x = ?
`∠`AOC and `∠`BOC are linear pair of angles
`∠`AOC + `∠`BOC = 180°
⇒ 2x + y = 180°
⇒ 2x + 40 = 180°
⇒ 2x = 140°
⇒ x = `(140°)/2`
⇒ y = 70°
उत्तर २
Rays ABand CD intersect at point O.
Therefore, ∠AOCand ∠BOCform a linear pair.
Thus,
∠AOC +∠BOC = 180°
2x +y =180° (1)
On substituting y = 40°:
2x +y = 180°
2x + 40° = 180°
2x = 180°-40°
2x = 140°
`x = (140°)/2`
x = 70°
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°
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
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.
Give two examples of perpendicular 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.
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
