Question

If one angle of a triangle is 60 and other two angles are in ratio 2.3 Find the angle

Answer 1

Answer:

One angle of triangle is 60° and other two angles be x and y.

By Applying Angle Sum Property,

180°=60°+x+y

x+y=120°-----equation 1

Also we know that x and y are in ratio 2:3,

So,

x/y=2/3

3x-2y=0---- equation 2

Substitute y=120°-x(from equation 1) in in equation 2,

We get,

3x-2(120°-x) =0

3x-240°+2x=0

5x=240°

x=48°

y=72°

Hope it helps you.

Answer 2

$\large{\boxed{\bf{Answer}}}$

The angles are 48° and 72°

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Given :-

• One angle of a traingle is 60°.

• Other two angles are 2:3

To Find :-

• These two angles.

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$\large{\boxed{\bf{Solution}}}$

★ Put x in the ratio.

Then,

Angles = 2x , 3x

★ According to question :-

• 2x + 3x + 60 = 180

=> 5x + 60 = 180

=> 5x = 180 - 60

=> 5x = 120

=> x = 120/5

=> x = 24

★ Put the value of x in the ratio .

• 2x => 2 × 24 => 48°

• 3x => 3 × 24 => 72°

Hence, the value of other angles are 48° and 72° respectively.

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