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
Are the ray PM and PT opposite rays? Give reasons for your answer.
If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?
Find the value of x, y and z
In the following figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. Then, ∠QOS measures ______.
In the following figure, a = 40°. The value of b is ______.
Two supplementary angles always form a linear pair.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
