Question

measure of angle of a triangle are in ratio 5:6:7 then the largest angle of triangle has the measure
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Answer 1

Step-by-step explanation:

5x+6x+7x=180°

18x=180°

x=10°

So largest angle is 7x=70° Ans.

Answer 2

Answer:

The measure of the largest angles of a triangle is 70°.

Step-by-step explanation:

Given:-

The measure of angles of a triangle are in the ratio 5:6:7.

To find:-

The measure of the largest angle of a triangle.

Step 1 of 1

Let the common ratio be y.

Since the measure of angles of a triangle are in the ratio 5:6:7, i.e.,

The measure of angles of a triangle are 5y, 6y, and 7y.

As we know,

The sum of all the angles of a triangle is 180°.

So,

5y + 6y + 7y = 180°

              18y = 180°

                 y = 180/18

                 y = 10°

The measures of angles of a triangle are:

5y = 5(10)

    = 50°

6y = 6(10)

    = 60°

7y = 7(10)

    = 70°

Therefore, the measure of the largest angles of a triangle is 70°.

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