If one angle of a triangle is 60° and the other two angles are in the ratio 2:3. find
these angles.
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One angle of a triangle =60
∘
Other two angles are in the ratio 2:3
Sum of other two angles =180 ∘ −60 ∘
=120 ∘
Let one of other two angles =2x
Then third angle =3x
2x+3x=120 ∘
5x=120 ∘
x=24
Other two angles are 2x=2×24=48 ∘
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and 3x=3×24=72 ∘
Other two angles of the triangle are 48 ∘ ,72 ∘
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