Question

If three angles (3x-7)°, 55°, (x+20°) makes a linear pair then find x.​

Answer 1

Given :

• Three angles (3x-7)°, 55°, (x+20°) makes a linear pair.

To Find :

• The value of x.

Solution :

Let's Assume,

• The First angle be (3x - 7)°
• The Second angle be 55°
• The Third angel be (x + 20)°

We know that,

• The sum of all the angles in a linear pair is equal to 180°

According to the Question,

• Sum of angles = 180° [Linear Pair]
• (3x - 7)° + 55° + (x + 20)° = 180°
• 3x° - 7° + 55° + x° + 20° = 180°
• 3x° + x° - 7 + 55° + 20° = 180°
• 4x° - 7° + 55° + 20° = 180°
• 4x° - 7° + 75° = 180°
• 4x° - 68° = 180°
• 4x° = 180° + 68°
• 4x° = 248°
• x° = 248\4
• x° = 62°

Therefore :

• Value of x is 62°.

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