The semicircular shape of a protractor is drawn with measurements. Four rays are superimposed on the protractor. The markings on a protractor range from 0 to 180 degrees from left to right on the outer scale. The markings on a protractor range from 0 to 180 degrees from right to left on the inner scale. Radial lines are drawn from the origin at the center of the baseline outward to form the angles marked on both the inner and outer scales. The origin is labeled as H. A ray labeled H G extends from point H along 22 degrees on the outer scale. A second ray labeled H I extends from point H along 49 degrees on the outer scale. The third ray is labeled H J extends from point H along 138 degrees of the outer scale. The fourth ray labeled H K extends from point H along 176 degrees on the outer scale. The angles formed by the four rays are marked with arcs.
What is the measure of angle IHK
?
(1 point)
Responses
127°
127°
176°
176°
138°
138°
154°
154°
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1 answer
To find the measure of angle \( IHK \), we can analyze the positions of rays H I and H K based on their angles.
To find angle \( IHK \), we calculate the difference between the two angles:
\[ \text{Angle } IHK = \text{measure of } H K - \text{measure of } H I \]
Substituting in the values:
\[ \text{Angle } IHK = 176^\circ - 49^\circ = 127^\circ \]
Therefore, the measure of angle \( IHK \) is \( \boxed{127^\circ} \).
