Question

Find the value of each variable and the angle measures of all angles (x+8)° (5x-148) degrees [vertical angle]​

Answer 1

Answer: By the Vertical Angles Theorem, we know that vertical angles are congruent. Therefore:

x + 8 = 5x - 148

Solving for x:

8 + 148 = 5x - x

156 = 4x

x = 39

So, we have:

x + 8 = 39 + 8 = 47 degrees

5x - 148 = 5(39) - 148 = 47 degrees (by the Vertical Angles Theorem)

Explanation: