Advertisements
Advertisements
प्रश्न
In the following figure, PQ || RS and a : b = 3 : 2. Then, f is equal to ______.
पर्याय
36°
108°
72°
144°
Advertisements
उत्तर
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
संबंधित प्रश्न
Given that AB is a straight line. Calculate the value of x° in the following cases
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?
In the given figure, find the value of x
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, a = 40°. The value of b is ______.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
