In a triangle one angle is 70degree and the other 2 angles are such that one is lesser in measure by 20 degree than the other.What are the measures of these 2 angles.
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Answered by
22
one is 65 and another angle is 45 because addition of all three angle is 180 and one of this angle is 70 so B+C=110, B=x ,C=x-20,. x+x-20=110.
Answered by
79
1st Angle is 70 degree
So let the 2nd angle be x and the 3rd be x-20 [Since One of the unknown angle is lesser than the other angle by 20 degrees]
We know, sum of the angles of a triangle is 180 degree...
Therefore,
70+x+(x-20)=180
70+x+x-20=180
2x+50=180
2x=180-50
2x=130
x=130÷2
x=65
So the 2nd angle is 65 degree
And the 3rd angle=x-20
65-20
45 degree
Hence the angles of the triangle are 70 degree,65 degree, and 45 degree..
So let the 2nd angle be x and the 3rd be x-20 [Since One of the unknown angle is lesser than the other angle by 20 degrees]
We know, sum of the angles of a triangle is 180 degree...
Therefore,
70+x+(x-20)=180
70+x+x-20=180
2x+50=180
2x=180-50
2x=130
x=130÷2
x=65
So the 2nd angle is 65 degree
And the 3rd angle=x-20
65-20
45 degree
Hence the angles of the triangle are 70 degree,65 degree, and 45 degree..
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