Question

the angles of a triangle one in the ratio 6:7:8: find the measure of each angle of a triangle​

Answer 1

hi dear

6x+7x+8x= 180.

21x= 180

x= 60/7

so three angles are

6×60/7=51.4°

7×60/7=60°

8×60/7=68.5

Answer 2

Given:

The angles of a triangle are in the ratio of 6:7:8 .

To Find:

The measure of each angle of the triangle.

Angle Sum Property:

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

Assumption:

Let the angle be x.

Solution:

6x + 7x + 8x = 180°

or, 21x = 180°

or, x = 180/21

or, x = 60/7

Answer:

6x = 6 ( 60/7 ) = 51.4° = 51° (approx.)

7x = 7 ( 60/7 ) = 60°

8x = 8 ( 60/7 ) = 68.5° = 69° (approx.)

To Check:

51° + 60° + 69° = 180°

or, 180° = 180°

LHS = RHS

Hence, Verified.