Question

ZA and ZB are vertical angles. If m_A = (2x – 4) and m B = (x + 1)º, then find the value of x.

Answer 1

x = 5

Step-by-step explanation:

vertical angles are congruent ( equal ) , then

∠ A = ∠ B ( substitute values )

2x - 4 = x + 1 ( subtract x from both sides )

x - 4 = 1 ( add 4 to both sides )

x = 5

Answer 2

Vertical angles are congruent, so we can set up an equation to solve for x and find the value of x that will give us the measures of the vertical angles ZA and ZB.

Step-by-step explanation:

Vertical angles are formed when two lines intersect and their angles are opposite to each other. In this case, we are given that ZA and ZB are vertical angles. We are also given that m_A is equal to (2x - 4) and m_B is equal to (x + 1) degrees.

Since vertical angles are congruent, we can set up an equation to solve for x. We have m_A = m_B, so (2x - 4) = (x + 1).

By solving this equation, we can find the value of x which will give us the measures of the vertical angles ZA and ZB.