Advertisements
Advertisements
Question
If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?
Advertisements
Solution
We know that the sum of angles at a point is 360°.
Given the three angles are in the ratio 1 : 4 : 7.
Let the three angles be 1x, 4x, 7x.
∴ x° + 4x° + 7x° = 360°
12x° = 360°
x° = `(360^circ)/12`
x° = 30°
∴ 1x° = 30°
4x° = 4 × 30° = 120°
7x° = 7 × 30° = 210°
∴ The three angles are 30°, 120° and 210°.
APPEARS IN
RELATED QUESTIONS
Indicate which pairs of angles are: Linear pairs.
In the given figure, Identify three linear pairs.
One angle of a linear pair is a right angle. What can you say about the other angle?
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.
What is the type of other angle of a linear pair if one of its angles is right?
