Question

1. solve for the value of c. (2c - 1)° 83°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Here, the angle $(2c - 1)^{\circ}$ and the $83^{\circ}$ angle are vertical angles. So, $2c-1 = 83$.

Step2: Solve the equation for c

Add 1 to both sides of the equation: $2c=83 + 1$, so $2c=84$. Then divide both sides by 2: $c=\frac{84}{2}=42$.

Answer:

$c = 42$