Question

calculator
$\angle c$ and $\angle d$ are vertical angles with $m\angle c = -3x + 58$ and $m\angle d = x - 2$
what is $m\angle d$?
enter your answer in the box.

Explanation:

Step1: Set angles equal (vertical angles)

$-3x + 58 = x - 2$

Step2: Solve for x

$-3x - x = -2 - 58$
$-4x = -60$
$x = \frac{-60}{-4} = 15$

Step3: Substitute x into ∠D formula

$m\angle D = 15 - 2$

Answer:

$13^\circ$