Question

The measures of the angles of a triangle are in the ratio 3 : 2:1. Find the measure of each angle.​

Answer 1

Answer:

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Step-by-step explanation:

A + 2A + 3A = 180 degrees ( total for all 3 angles in any triangle). This one is a right triangle since one of the angles is 90 degrees. Angles are 30, 60, 90 Ans.

Answer 2

Given

• The measure of angles are in the ratio of 3:2:1

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To Find

• The measure of each angle.

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Solution

Let ∠1 be ⇒ 3x

Let ∠2 be ⇒ 2x

Let ∠3 be ⇒ x

We know that the sum of the angles in any triangle is always 180°. So we will solve this equation to find the measure of the angles ⇒ 3x+2x+x=180

⇒ 3x + 2x + x = 180

⇒ 6x = 180

⇒ 6x ÷ 6 = 180 ÷ 6

⇒ x = 30

∴ ∠1 = 3(30) = 90°

∴ ∠2 = 2(30) = 60°

∴ ∠3 = 30°

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