Question

The three angles of a triangle are (2x-2°),x°,(2x-7°). Find the value of x.​

Answer 1

Step-by-step explanation:

(2x-2) + x + (2x-7 ) = 180° ( angel sum property of triangle )

2x + x + 2x -2 -7 = 180°

5x -9 = 180°

5x = 180° + 9

5x = 189°

x = 189° ÷ 5

x = 37.8°

Answer 2

• Given

• Three angles of a triangle = (2x - 2), x, (2x - 7)

• To find

• The value of x

• Solution

The sum of angles of a triangle = 180°

⇒ (2x - 2) + x + (2x - 7) = 180°

⇒ 2x - 2 + x + 2x - 7 = 180°

⇒ 5x - 9 = 180°

⇒ 5x = 180° + 9

⇒ 5x = 189°

⇒ x = 189°/5

⇒ x = 37.8°

The value of x = 37.8°

The three angles of triangle -

• (2x - 2) = 2 × 37.8 - 2 = 73.6°
• x = 37.8°
• (2x - 7) = 2 × 37.8 - 7 = 68.6°

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Let's verify -

The sum of angles of a triangle = 180°

The three angles of triangle -

• 73.6°
• 37.8°
• 68.6°

⇒ 73.6° + 37.8° + 68.6°

⇒ 180°

Hence, verified.