Question

If one angle of a triangle is 85• and the other angles are in the ratio of2:3 find the angles

Answer 1

Given ,

• The one angle of triangle is 85

• The ratio of other two angles is 2 : 3

Let ,

The other two angles be " 2x " and " 3x "

We know that , the sum of all angles of triangle is 180

Thus ,

85 + 2x + 3x = 180

5x = 95

x = 95/5

x = 19

$\therefore$ The other two angles are 38 and 57

Answer 2

$\huge\sf\pink{Answer}$

☞ The angles are 38° & 57°

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$\huge\sf\blue{Given}$

✭ One Angle of a triangle is 85°

✭ Other two angels are of the ratio 2:3

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$\huge\sf\gray{To \:Find}$

◈ The Angles?

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$\huge\sf\purple{Steps}$

So here we shall use the concept that angles in a triangle add up to 180°

So let the angles be

◕ 85° , 2x , 3x

➝ $\sf 85^{\circ} + 2x + 3x = 180^{\circ}$

➝ $\sf 85^{\circ} + 5x = 180^{\circ}$

➝ $\sf 5x = 180-85$

➝ $\sf 5x = 95$

➝ $\sf x = \dfrac{95}{5}$

➝ $\sf x = 19$

So then the angles will be

$\sf \dag\; 2\times 19 = 38^{\circ}$

$\sf \dag\; 3\times 19 = 57^{\circ}$

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