Advertisements
Advertisements
Question
In the following figure, PQ || ST. Then, the value of x + y is ______.
Options
125°
135°
145°
120°
Advertisements
Solution
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
RELATED QUESTIONS
Are the ray PM and PT opposite rays? Give reasons for your answer.
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?
Angles between South and West and South and East are ______.
In the following figure, PQ is a mirror, AB is the incident ray and BC is the reflected ray. If ∠ABC = 46°, then ∠ABP is equal to ______.
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, lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to ______.
In the following figure, POQ is a line, then a is ______.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
