Question
0/3 Mar
Х
3x
Work out the value of x.

The value of x is 67.5

Step-by-step explanation:

The sum of the measures of the angles around a point is 360°

Let us solve the question

∵ In the given figure there are 3 adjacent angles around one vertex

→ By using the rule above

∴ The sum of their measures is 360°

∵ One of the angles is a right angle

∵ The measure of the right angle is 90°

∵ The measures of them are x, 3x, and 90°

∴ x + 3x + 90° = 360°

→ Solve the equation by adding the like terms to find x

∵ (x + 3x) + 90 = 360

∴ 4x + 90 = 360

→ Subtract 90 from both sides

∵ 4x + 90 - 90 = 360 - 90

∴ 4x = 270

→ Divide both sides by 4

∴ x = 67.5

∴ The value of x is 67.5