Question

lines ab, cd, and ef intersect at point g. for each of the angles without an expression or variable angle measure, measure into the drawing.

Explanation:

Step1: Use angle - sum property

The sum of angles around a point is $360^{\circ}$. So, $x+(x - 15)+(x + 15)+x=360$.

Step2: Simplify the equation

Combining like - terms, we get $4x=360$.

Step3: Solve for x

Dividing both sides by 4, $x = 90$.

Step4: Find angle measures

• $\angle CGA=x = 90^{\circ}$.
• $\angle EGB=x - 15=90 - 15 = 75^{\circ}$.
• $\angle DGB=x + 15=90+15 = 105^{\circ}$.

Answer:

$\angle CGA = 90^{\circ}$, $\angle EGB=75^{\circ}$, $\angle DGB = 105^{\circ}$