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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 $degree$ . 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 $degree$
As RS is a straight line
So,4b+75 +b =180 $degree$
$rightwards double arrow$ 5b=105
$rightwards double arrow$ b=21 $degree$
Also, PQ is a straight line
So, a + b + 75 =180 $degree$
$rightwards double arrow$ a + 21 =105
$rightwards double arrow$ a = 84 $degree$
And 4b + 2c =180 $degree$
$rightwards double arrow$ 84 + 2c =180
$rightwards double arrow$ 2c = 96
$rightwards double arrow$ c = 48 $degree$
So, a=21 $degree$ , b=84 $degree$ and c= 48 $degree$

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