Advertisements
Advertisements
प्रश्न
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
विकल्प
30°
34°
36°
none of these
Advertisements
उत्तर
Let us draw the following figure, showing POQ as a straight line.
Thus, ∠POR and ∠QORform a linear pair, therefore their sum must be supplementary. That is;
∠POR + ∠QOR = 180°
It is given that
∠POR = 3x
and ∠QOR = 2x + 10°
On substituting these two values above, we get:
3x +2x + 10° = 180°
5x +10° = 180°
5x = 180° -10°
5x = 170°
`x = (170°)/5`
x = 34°
APPEARS IN
संबंधित प्रश्न
How many pairs of adjacent angles are formed when two lines intersect in a point?
In the below fig, lines PQ and RS intersect each other at point O. If ∠POR: ∠ROQ − 5 : 7,
find all the angles.
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 straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
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.
What is the geometric relationship between two straight lines in the same plane that will never intersect, no matter how much they are extended?
Which phrase correctly describes the distance between two parallel lines?
