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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