Advertisements
Advertisements
Question
Two angles are making a linear pair. If one of them is one-third of the other, find the angles.
Advertisements
Solution
Let one angle be x.
It is given that other angle is one-third of first.
So, other angle will be `1/3 x`.
Again, given that both the angles are making a linear pair.
So, their sum will be 180°.
∴ `x + 1/3 x = 180^circ`
⇒ `(3x + x)/3 = 180^circ` ...[Taking LCM of 1 and 3 on LHS]
⇒ `(4x)/3 = 180^circ`
⇒ `x = (180^circ xx 3)/4`
⇒ x = 135°
Hence, the angles are 135° and `1/3 xx 135^circ`, i.e. 135° and 45°.
APPEARS IN
RELATED QUESTIONS
In the adjoining figure, name the following pairs of angles.
- Obtuse vertically opposite angles
- Adjacent complementary angles
- Equal supplementary angles
- Unequal supplementary angles
- Adjacent angles that do not form a linear pair
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?
In the given figure, find the value of x
Using the figure, answer the following question and justify your answer
Does ∠BOC and ∠BOD form a linear pair?
In the figure POQ, ROS and TOU are straight lines. Find the x°
Two angles are in the ratio 11 : 25. If they are linear pair, find the angles
Angles between South and West and South and East are ______.
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, PQ || RS and a : b = 3 : 2. Then, f is equal to ______.
