Question

4)The measure of a angles of a triangle are in the ratio 3:5:1 .Find the measure of each angles ​

Answer 1

Answer:

Let, the angle of triangle be "x"

Ratio of angles of triangle -> 3:5:1

i.e 3x : 5x : 1x

Total angle of triangle = 180°

180° = 3x + 5x + x

180° = 9x

∴ x = 20°

Therefore, the angles of a triangle is 60° (3x) , 100° (5x) , 20° (x)

Step-by-step explanation:

Answer 2

$\sf{\huge{\underline{\red{Given :-}}}}$

• The measure of a angles of a triangle are in the ratio 3:5:1.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The measure of each angles of triangle.

$\sf{\huge{\underline{\orange{Answer :-}}}}$

According to the question,

The measure of angles of a triangle are in the ratio 3:5:1.

Let the angles of a triangle be 3x, 5x & x,

We know that, the sum of angles of a triangle is 180°.

3x + 5x + x = 180°

➝ 9x = 180°

➝ x = 180°/9

➝ x = 20°

The angles of a triangle :-

• 3x = 3 × 20° = 60°

• 5x = 5 × 20° = 100°

• x = 1 × 20° = 20°