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Chapter 7: Q28. (page 244)

Find the measure of each angle.

The measures of the angles of an isosceles triangle are in the ratio 3:3:2.

Short Answer

Expert verified

The measure of each angle is,67.5掳 ,67.5掳 and45掳

Step by step solution

01

Step 1. Given Information.

The ratio between angles of an isosceles triangle is,

3:3:2

02

Step 2. Concept Used.

The sum of angles of a triangle is,180鈭� .

Since,

ratio of the angles is always in the simplified form,

it might not represent the actual measure.

So,

03

Step 3. consider the angles as 3x,3x and2x .

The sum of the angles of the triangle can be expressed using the above relation as,

3x+3x+2x=1808x=180x=1808=22.5

So, each of the angles are given by,

3x=3脳22.5=67.5掳

2x=2脳22.5=45掳

Therefore, the angles of the isosceles triangle are,67.5掳 ,67.5掳 and45掳 .

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