Advertisements
Advertisements
प्रश्न
In the following figure, PQ || ST. Then, the value of x + y is ______.
विकल्प
125°
135°
145°
120°
Advertisements
उत्तर
In the following figure, PQ || ST. Then, the value of x + y is 135°.
Explanation:
Since, PQ || ST and SO is a transversal.
∴ x = 85° ...[Alternate interior angles]
Now, PO is a straight line.
∴ ∠PQR + ∠RQO = 180° ...[Linear pair]
⇒ 130° + y = 180°
⇒ y = 180° – 130° = 50°
∴ x + y = 85° + 50° = 135°
APPEARS IN
संबंधित प्रश्न
Given that AB is a straight line. Calculate the value of x° in the following cases
Given that AB is a straight line. Calculate the value of x° in the following cases
One angle of a linear pair is a right angle. What can you say about the other angle?
There are six angles at a point. One of them is 45° and the other five angles are all equal. What is the measure of all the five angles?
Two angles are in the ratio 11 : 25. If they are linear pair, find the angles
In the following figure, lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to ______.
In the following figure, a = 40°. The value of b is ______.
In the following figure, PQ || RS and a : b = 3 : 2. Then, f is equal to ______.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
