Two angles of a triangle are in the ratio of 2:3. The sum of these angles is equal to the third angle. find the angles of triangle.
Answers
Answered by
22
let angle A be 2x
angle B be 3x
then it is given that angle C =angleA+angleB
2x+3x
=5x
now we know that sum of all angles of traingle is 180
angleA+angleB+angleC=180
2x+3x+5x=180
10x=180
x=180/10
x=18
angle A =2x=2×x=2×18=36
angle B=3x=3×x=3×18=54
angle C=angleA+angleB
=36+54=90
or
angleC=5x=5×x=5×18=90
hope it helps
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Answered by
9
Answer:
Step-by-step explanation:
Let the ratio be 2x and 3x
And third angle=(2x+3x)=5x
A/q
2x+3x+5x=180
10x =180
So, x=18
1st angle 2x =2*18=36
IInd angle3x=3*18=54
iiird angle5x=5*18=90
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