Maths-

General

Easy

Question

# In the adjoining figure, two straight lines PQ and RS intersect each other at O. If then the values of a,b and c are .........., .......... and ..............

- 84°,21°,48°
- 21°,48°,84°
- 24°,48°,74°
- 48°,84°,74°

Hint:

### In this question, we have to find the value of a, b and c. For that we will use the property of straight line i.e., sum of the angles formed in the straight line is always 180. We will find the value of a variable and later substitute in the other possible equation to find the value of other two.

## The correct answer is: 84°,21°,48°

We know that the sum of angles of triangle is 180

As RS is a straight line

So,4b+75 +b =180

5b=105

b=21

Also, PQ is a straight line

So, a + b + 75 =180

a + 21 =105

a = 84

And 4b + 2c =180

84 + 2c =180

2c = 96

c = 48

So, a=21, b=84 and c= 48

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