Question

1. find the measure of each angle. then classify each angle.

a. \\( \angle g h k \\)
b. \\( \angle j h l \\)
c. \\( \angle l h k \\)

Explanation:

Step1: Measure ∠GHK

Use the protractor. Align the center of the protractor with point \(H\). Read the value where the rays \(HG\) and \(HK\) intersect the protractor. \(HG\) is at \(180^{\circ}\) (straight - line reference) and \(HK\) is at \(130^{\circ}\). The measure of \(\angle GHK=180 - 130=50^{\circ}\). Since \(0^{\circ}<50^{\circ}<90^{\circ}\), it is an acute angle.

Step2: Measure ∠JHL

\(HJ\) is at \(0^{\circ}\) (straight - line reference) and \(HL\) is at \(90^{\circ}\). The measure of \(\angle JHL = 90^{\circ}\). By definition, an angle with a measure of \(90^{\circ}\) is a right angle.

Step3: Measure ∠LHK

\(HL\) is at \(90^{\circ}\) and \(HK\) is at \(130^{\circ}\). The measure of \(\angle LHK=130 - 90 = 40^{\circ}\). Since \(0^{\circ}<40^{\circ}<90^{\circ}\), it is an acute angle.

Answer:

a. \(m\angle GHK = 50^{\circ}\), acute angle
b. \(m\angle JHL=90^{\circ}\), right angle
c. \(m\angle LHK = 40^{\circ}\), acute angle