Question

the measure of one of the angles of a triangle is thrice the measure of it's smallest angle and the measure of the other angle is five times the measure of it's smallest angle. Find the measure of the three angles​

Answer 1

Answer:

20°,  60° , 100°

Step-by-step explanation:

Let the measure of the smallest angle be 'x'.

Thus, other angles are 3x and 5x.

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

⇒ x + 3x + 5x = 180°

⇒ 9x = 180°

⇒ x = 180°/9

⇒ x = 20°

    Therefore, the angles are:

x = 20°

3x = 3(20°) = 60°

5x = 5(20°) = 100°

Answer 2

Question:-

• The measure of one of the angles of a triangle is thrice the measure of it's smallest angle and the measure of the other angle is five times the measure of it's smallest angle. Find the measure of the three angles.

To Find:-

• Find the measures of the three angles.

Given:-

• The measure of one of the angles of a triangle is thrice the measure of it's smallest angle and the measure of the other angle is five times the measure of it's smallest angle.

Solution:-

Let the measures of the smallest angle be " x "

The second angle be " 3x "

The third angle be " 5x "

We know that:-

• Sum of three angles of a traingle is 180°

$\tt\implies \: x + 3x + 5x = 180$

$\tt\implies \: 9x = 180$

$\tt\implies \: x = \cancel\dfrac { 180 } { 9 }$

$\tt\implies \: x = 20$

Hence ,

• First angle is 20°

• Second angle is 3x = 60°

• Third angle is 5x = 100°