Question

The measure of the smallest angle of a triangle is ​one-fifthfifth the measure of the largest angle. The measure of the second angle is 51 degrees° less than the measure of the largest angle. Find the measure of the angles of the triangle

Answer 1

Answer:

Largest angle is 105°

Smallest angle is 21°

The second angle is 54°

Step-by-step explanation:

Let the largest angle be x°

The smallest angle will be 1/5x°

The second angle will be x° - 51°

Angles in a triangle add up to 180° so;

x + x - 51 + 1/5x = 180

11/5x = 180 + 51 , 11/5x = 231 , x = 105°

Smallest angle is 1/5 × 105 = 21°

The second angle is 105 - 51 = 54°