Question

the measure of an angles of a triangle are in the ratio 5:6:7 then the largest angel of the triangle has the measure​

Answer 1

Answer:

70°

Step-by-step explanation:

Given measure of each angle - 5:6:7

taking the angle as X 5x, 6x and 7x

Sum of total measure of angles is 180

so, 5x + 6x + 7x = 180 18x = 180

x = 180 / 18

x = 10°

Now, 5x = 50°

6x = 60°

7x = 70°

so largest angle measure is 70°

Hope u understood

Answer 2

Step-by-step explanation:

Let the measurement of each angle of a triangle be x.

Angle sum property of a triangle = all angles of a triangle = 180°

Angle sum property of a triangle = 5x + 6x + 7x = 180°

18x = 180°

x = 180°÷ 18

x = 10°

Hence, the value of 5x = 5×10= 50°

6x = 6×10 = 60°

7x = 7×10 = 70°

Hence, largest angles measurement is 70°

To verify:

5x+6x+7x = 180°

50°+60°+70° = 180°