Answer:
The value of x is 67.5
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