# What is the value of x?

**Solution:**

Inside a triangle, the angles add upto 180°

From the figure, the third angle is supplementary to (6x + 1)°

Two angles are said to be supplementary angles if they add up to 180 degrees.

Angle 1 = 79°

Angle 2 = (2x + 10)°

Angle 3 = 180° - (6x + 1)°

It can be written as

79^{°} + (2x + 10)^{°} + 180^{°} - (6x + 1)^{°} = 180^{°}

By further calculation

79 + 2x + 10 + 180 - 6x - 1 = 180

268 - 4x = 180

So we get

4x = 268 - 180

4x = 88

Divide both sides by 4

x = 22

Therefore, the value of x is 22.

## What is the value of x?

**Summary:**

The value of x is 22.

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