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

Options
20°
30°
45°
60°
Advertisements
Solution
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
RELATED QUESTIONS
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.

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°

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
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.
Which symbolic notation correctly represents the statement 'Line m is parallel to Line n?'
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
