Advertisements
Advertisements
Question
In the given figure, PQ || ST. Then, the value of x + y is ______.
Options
125°
135°
145°
120°
Solution
In the given figure, PQ || ST. Then, the value of x + y is 135°.
Explanation:
Since, PQ || ST and SO is a transversal.
∴ x = 85° ......[Altemate interior angles]
Now, PO is a straight line.
∴ ∠PQR + ∠RQO = 180° ......[Linear pair]
⇒ 130° + y = 180°
⇒ y = 180° – 30° = 50°
∴ x + y = 85° + 50° = 135°
APPEARS IN
RELATED QUESTIONS
Indicate which pairs of angles are: Linear pairs.
Given that AB is a straight line. Calculate the value of x° in the following cases
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?
In the given figure the angles ∠1 and ∠2 are
In the given figure, lines PQ and ST intersect at O. If ∠POR = 90° and x:y = 3:2, then z is equal to ______.
In the given, PQ || RS and a : b = 3 : 2. Then, f is equal to ______.
What is the type of other angle of a linear pair if one of its angle is acute?
