Question

The angles of a triangle are in the ratio of 2:4:6. Find the measure of all the angles.

Answer 1

Answer:

First angle = 2x

Second angle = 4x

Third angle = 6x

Sum of all angles of a triangle = 180°

So,

A·T·Q· 2x + 4x + 6x = 180

12x = 180

x = 180 / 12

x = 15

Therefore First angle = 2x = 30°

Second angle = 4x = 60°

Third angle = 6x = 90°

Answer 2

Answer:

The angles of the triangle are 30°, 60° and 90°.

Step-by-step explanation:

Given :

Ratio of the angles of the triangle = 2 : 4 : 6

To find :

The all angles

Solution :

Let the angles be -

• 2x
• 4x
• 6x

According to the Angle Sum property of triangle, all angles in a triangle sum up and make 180°.

$\longrightarrow$ 2x + 4x + 6x = 180

$\longrightarrow$ 12x = 180

$\longrightarrow$ x = 180/12

$\longrightarrow$ x = 15

$\rule{300}{1.5}$

★ Value of 2x

$\longrightarrow$ 2(15)

$\longrightarrow$ 30°

★ Value of 4x

$\longrightarrow$ 4(15)

$\longrightarrow$ 60°

★ Value of 6x

$\longrightarrow$ 6(15)

$\longrightarrow$ 90

$\therefore$ The angles of the triangle are 30°, 60° and 90°.