Question

If one angle of a triangle is 60 and the other two angles are in the ration 2:3, find

these angles
​

Answer 1

Step-by-step explanation:

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Answer 2

Question :

If one angle of a triangle is 60 and the other two angles are in the ration 2:3, find

these angles ?

Answer :

$\sf\pink{Given:}$

• measure of one angle is 60°

• ratio of the measures of others two angles is 2:3 .

$\sf\pink{To\:Find:}$

• measure of the remaining two angles ?

Explanation :

• let the other two angles be 2x and 3x respectively .

Rule :

sum of all angles of the triangle is 180°

$\longrightarrow\bf{ 60 + 2x + 3x = 180}$

$\longrightarrow\bf{ 60 + 5x = 180}$

$\longrightarrow\bf{ 5x = 180 - 60}$

$\longrightarrow\bf{ 5x = 120}$

$\longrightarrow\bf{ x = \dfrac{120}{5}}$

$\longrightarrow\bf{ x = 24 }$

• Value of x is 24 .

Second angle = 2x

$\longrightarrow\bf{ 2\times 24}$

$\longrightarrow\bf{48°}$

• Therefore the measure of one of the other angles is 48°

Third angle = 3x

$\longrightarrow\bf{ 3\times 24}$

$\longrightarrow\bf{ 72}$

• Measure of the remaining angle is 72°

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