Question

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

Answer 1

Answer:

48,72 degree

Step-by-step explanation:

let the other two angles as 2x 3x then

2x+3x+60°=180°

x=24

2x= 2*24= 48

3x= 3*24=72

Answer 2

Given : Two angles of a triangle are in the ratio and third angle is 60°.

To Find : Two other angles of the triangle.

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Put k in the ratio. Then, angles will be

$\: \:$

• First angle = 2k
• Second angle = 3k

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❍ As we know that, sum of all three angles of a triangle is 180°.

$\: \:$

Now,

$\sf :\implies \: \angle1 + \angle2 + \angle3 = 180 \degree \\ \\ \\ \sf :\implies \: 2k + 3k + 60 = 180 \\ \\ \\ \sf :\implies \: 5k = 180 - 60 \\ \\ \\ \sf :\implies \: 5k = 120 \\ \\ \\ \sf :\implies \: k = \cancel\frac{120}{5} \\ \\ \\ \sf :\implies \: k = \underline{\boxed{\mathfrak\purple{24}}} \: \bigstar$

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$\: \:$

Now,

$\: \:$

• First angle = 2(24) = 48°
• Second angle = 3(24) = 72°

$\: \:$

$\: \:$

$\sf\therefore{\underline{Hence, \: the \: other \: two \: angles \: of \: the \: triangle \: are \: \bold{48°} \: and \: \bold{72°} \: respectively.}}$