QUESTION IMAGE
Question
what is the correct classification for each given angle? drag and drop the answer into the box to match each angle. ∠npl ∠jpl ∠npk acute right obtuse
Step1: Recall angle - type definitions
An acute angle is less than 90°, a right - angle is 90°, and an obtuse angle is greater than 90° and less than 180°.
Step2: Calculate ∠NPL
∠NPL=180° - 38°- 90° = 52°. Since 0°<52°<90°, ∠NPL is acute.
Step3: Calculate ∠JPL
∠JPL=38° + 90°=128°. Since 90°<128°<180°, ∠JPL is obtuse.
Step4: Calculate ∠NPK
∠NPK = 90° - 38°=52°. Since 0°<52°<90°, ∠NPK is acute.
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∠NPL: acute
∠JPL: obtuse
∠NPK: acute