Question

in the diagram below, value of x is:
35°
5x°
options: 35, 5, 55, 11

Explanation:

Step1: Identify angle relationship

The right angle (90°), 35°, and \(5x^\circ\) form a straight angle (180°). So, \(5x + 35 + 90 = 180\).

Step2: Simplify the equation

Simplify: \(5x + 125 = 180\). Subtract 125: \(5x = 180 - 125 = 55\).

Step3: Solve for x

Divide by 5: \(x = \frac{55}{5} = 11\).

Answer:

11