Question

8. The three angles of triangle are in
the ratio 5:6:4 Find the measurement
of each angle​

Answer 1

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Given

• Ratio of angles = 5 : 6 : 4

To Calculate

• Angles of triangle

Solution

Let the angles be 5x, 6x and 4x.

According to question,

$\bf \implies 5x + 6x + 4x = 180$

$\bf \implies 15x = 180$

$\bf \implies x = 180 \div 15$

$\bf \implies x = 12 \degree$

• 5x = 5 × 12 = 60°
• 6x = 6 × 12 = 72°
• 4x = 4 × 12 = 48°

Therefore, angles of triangle are 60°, 72° and 48°.

Answer 2

Answer:

Given

Ratio of angles = 5 : 6 : 4

To Calculate

Angles of triangle

Solution

Let the angles be 5x, 6x and 4x.

According to question,

5x + 6x + 4x = 180 ⟹ 5x+6x+4x=180

15x = 180 ⟹ 15x=180

x = 180 \div 15 ⟹ x=180÷15

x = 12 \degree ⟹ x=12°

5x = 5 × 12 = 60°

6x = 6 × 12 = 72°

4x = 4 × 12 = 48°

Therefore, angles of triangle are 60°, 72° and 48°.