Question

two angles of a triangle are in the ratio 2: 3 and third angle is 60 degree find the other two angle of triangle​

Answer 1

Answer:

Let the other two angles be 2x and 3x

2x+3x+60=180

Now,find the value of x.

So, X=24

Hence 2x24=48

3x24=72

Answer 2

Step-by-step explanation:

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$\text{\huge\underline{\red{Question:-}}}$

:$\Longrightarrow$ Two angles of a triangle are in the ratio 2: 3 and third angle is 60 degree find the other two angle of triangle?

$\text{\huge\underline{\orange{To\ find:-}}}$

:$\Longrightarrow$ We have to find other two angles of triangle ??

$\text{\huge\underline{\green{Given:-}}}$

:$\Longrightarrow$ One angle of a triangle = 60⁰

:$\Longrightarrow$ Other two angles are in the ratio 2:3

$\text{\huge\underline{\purple{Solution:-}}}$

:$\Longrightarrow$ Sum of other two angles =180⁰ − 60⁰ = 120⁰

$\text{\huge\underline{\blue{Let's\ Verify:-}}}$

:$\Longrightarrow$ Let one of other two angles = 2x

:$\Longrightarrow$ Then third angle = 3x

:$\Longrightarrow$ 2x + 3x = 120⁰

:$\Longrightarrow$ 5x = 120⁰

:$\Longrightarrow$ x = 24.

:$\Longrightarrow$ Other two angles are 2x = 2 × 24 = 48⁰

:$\Longrightarrow$ And, 3x = 3 × 24 = 72⁰

:$\Longrightarrow$ $\therefore$ The other two angles are of the triangle are 48⁰ and 72⁰.

$\text{\huge\underline{\bf{Hence,\ Verified}}}$

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