Advertisements
Advertisements
Question
In the following figure, PQ || RS and a : b = 3 : 2. Then, f is equal to ______.
Options
36°
108°
72°
144°
Advertisements
Solution
In the following figure, PQ || RS and a : b = 3 : 2. Then, f is equal to 108°.
Explanation:
From the figure, PQ || RS.
From the question, it is given that, a : b = 3 : 2
So, let us assume a = 3m and b = 2m
We know that, the sum of angles on the straight line is equal to 180°
Then, ∠a + ∠b = 180°
3m + 2m = 180°
5m = 180°
m = `180^circ/5`
m = 36°
So, a = 3m = 3 × 36° = 108°
b = 2m = 2 × 36° = 72
Therefore, ∠a = ∠f = 108° ...[∵ Corresponding angles]
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
If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?
Using the figure, answer the following question and justify your answer
Does ∠BOC and ∠BOD form a linear pair?
The angle which makes a linear pair with an angle of 61° is of ______.
In the following figure, a = 40°. The value of b is ______.
In the following figure, PQ || ST. Then, the value of x + y is ______.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
