Question

start leveling up and building your weekly streak! my assignments basic geometry and measure... course basic geometry an... > unit 11 lesson 2: missing angles problems find measure of vertical angles due 04 17, 3:30 pm finding missing angles attempted • 43% finding angle measures between note: angles not necessarily drawn to scale. x = related content

Explanation:

Step1: Use the property of right - angle and supplementary angles

We know that the sum of angles around a point where \( \angle EGD = 55^{\circ}\) and \( \angle DGC=90^{\circ}\) and \(x\) are related. The sum of angles on a straight line is \(180^{\circ}\).
The equation is \(x + 55^{\circ}+90^{\circ}=180^{\circ}\)

Step2: Solve the equation for \(x\)

Subtract \(55^{\circ}\) and \(90^{\circ}\) from \(180^{\circ}\)
\(x=180^{\circ}-(55^{\circ} + 90^{\circ})\)
\(x=180^{\circ}-145^{\circ}\)
\(x = 35^{\circ}\)

Answer:

\(35\)