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
In the given figure, Identify three linear pairs.
In the given figure the angles ∠1 and ∠2 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 ______.
Two supplementary angles always form a linear pair.
A linear pair may have two acute angles.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
