Question

1. there are two triangles with vertical angles, one angle is 36°, the other angle is (1 + 5x)°. the options are a) 7, b) 9, c) 4, d) 6.

Explanation:

Step1: Identify Vertical Angles

The two angles \( (1 + 5x)^\circ \) and \( 36^\circ \) are vertical angles, so they are equal. Thus, we set up the equation: \( 1 + 5x = 36 \).

Step2: Solve for \( x \)

Subtract 1 from both sides: \( 5x = 36 - 1 = 35 \). Then divide both sides by 5: \( x = \frac{35}{5} = 7 \).

Answer:

A) 7