Advertisements
Advertisements
प्रश्न
In the given figure, the value of y is

पर्याय
20°
30°
45°
60°
Advertisements
उत्तर
In the given figure, x°and y°are vertically opposite angles, therefore, these must be equal.

That is,
x =y ...(i)
Also, 2x°, y°and 3x° form a linear pair. Therefore, their sum must be supplementary.
That is,
2x + y + 3x = 180°
From (i) equation, we get:
2x + x +3x = 180°
6x = 180°
`x = (180°) /6`
x = 30°
From (i) equation again,
y =30°
APPEARS IN
संबंधित प्रश्न
How many pairs of adjacent angles are formed when two lines intersect in a point?
If one of the four angles formed by two intersecting lines is a right angle, then show that
each of the four angles is a right angle.
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.
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.

Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
What is the geometric relationship between two straight lines in the same plane that will never intersect, no matter how much they are extended?
