Advertisements
Advertisements
प्रश्न
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
Advertisements
उत्तर १
Given x = 60°
y = ?
`∠`AOC, `∠`BOC are linear pair of angles
`∠`AOC + `∠`BOC = 180°
⇒ 2x + y = 180°
⇒ 2 × 60 + y = 180° [ ∵x = 60°]
⇒ y = 180° -120°
⇒ y = 60°
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 x = 60° :
2x + y = 180°
2(60°) + y = 180°
120° + y= 180°
y = 180°- 120°
y = 60°
APPEARS IN
संबंधित प्रश्न
In the below fig, lines PQ and RS intersect each other at point O. If ∠POR: ∠ROQ − 5 : 7,
find all the angles.
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
Consider the following statements:
When two straight lines intersect:
(i) adjacent angles are complementary
(ii) adjacent angles are supplementary
(iii) opposite angles are equal
(iv) opposite angles are supplementary
Of these statements
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
In the given figure, the value of x is ______.
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.
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.
What is the geometric relationship between two straight lines in the same plane that will never intersect, no matter how much they are extended?
