Question

an architect is making a floor plan. they draw two angles that are supplementary to each other. if one of these angles is 17°, whats the measure of the other angle? select one of four 173° 73° 163° 63°

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). Let the unknown angle be \(x\). Then \(x + 17^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(17^{\circ}\) from both sides: \(x = 180^{\circ}-17^{\circ}\).

$$x=163^{\circ}$$

Answer:

\(163^{\circ}\)