Question

ZA and B are vertical angles. If m/A= (2x +20)° and m/B = (3x + 1)°,
then find the value of x.

Answer 1

x = 19

Explanation:

since vertical angles are equal we can set the value of angles A and B equal and solve for 'x'

2x + 20 = 3x + 1

20 = x + 1

19 = x

Answer 2

The value of x is -19.

Explanation:

Given that ZA and B are vertical angles and m/A = (2x +20)°, and m/B = (3x + 1)°, we know that ZA and B are congruent, meaning they have the same measure. We can set the two given equations equal to each other: m/A = (2x + 20)° = m/B = (3x + 1)°. Then, by isolating x on one side of the equation, we subtract 20 from both sides of the equation, then subtract 2x from both sides of the equation, which gives us x = -19, thus the value of x is -19.