Question

Q.8 find the angles of a triangle which are in the ration 1:2:6.​

Answer 1

Answer:

1:2:6.​

x+2x+6x

Step-by-step explanation:

✓A+✓B+✓C=180°.(sum of all angles of a triangle)

x+2x+6x=180

Answer 2

Answer:

Given :-

• The angles of a triangle are in the ratio of 1 : 2 : 6.

To Find :-

• What are the measure of each angles of a triangle.

Solution :-

Let,

➲ First Angle Of Triangle = x

➲ Second Angle Of Triangle = 2x

➲ Second Angle Of Triangle = 6x

As we know that :

★ Sum Of All Angles Of Triangle = 180°

According to the question,

⇒ x + 2x + 6x = 180°

⇒ 3x + 6x = 180°

⇒ 9x = 180°

⇒ x = 180°/9

⇒ x = 20°/1

➦ x = 20°

Hence, their measure of each angles of a triangle :

❒ First Angle Of Triangle :

↦ First Angle = x

➠ First Angle = 20°

❒ Second Angle Of Triangle :

↦ Second Angle = 2x

↦ Second Angle = 2(20°)

↦ Second Angle = 2 × 20°

➠ Second Angle = 40°

❒ Third Angle Of Triangle :

↦ Third Angle = 6x

↦ Third Angle = 6(20°)

↦ Third Angle = 6 × 20°

➠ Third Angle = 120°

∴ The measure of each angles of a triangle are 20°, 40° and 120° respectively.