Question

If the three angles of a triangle are in ratio 2:1:2 . find all the angles of a triangle
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Answer 1

Step-by-step explanation:

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Answer 2

Answer :

›»› The all angles of a traingle are 72°, 36°, and 72°.

Given :

• The three angles of a triangle are in ratio 2:1:2.

To Find :

• The angles of a traingle = ?

Solution :

Let,

The first angle of traingle be "2x" second angle be "1x" and thrid angle be "2x" respectively.

As we know that

The sum of all three angles of the traingle is 180°.

→ 2x + 1x + 2x = 180

→ 3x + 2x = 180

→ 5x = 180

→ x = 180/5

→ x = 36

Therefore,

→ The first angle of traingle = 2x

→ The first angle of traingle = 2 * 36

→ The first angle of traingle = 72°

→ The second angle of traingle = 1x

→ The second angle of traingle = 1 * 36

→ The second angle of traingle = 36°

→ The third angle of traingle = 2x

→ The third angle of traingle = 2 * 36

→ The third angle of traingle = 72°

║Hence, the all angles of a traingle are 72°, 36°, and 72°.║

Verification :

The sum of all three angles of the traingle is 180°.

→ 72 + 36 + 72 = 180

→ 108 + 72 = 180

→ 180 = 180

Here LHS = RHS

Hence Verified !