Mathematics
Write the measure of the smaller angle formed by the hour and minute hands of a clock at 7 o'clock. Also write the measure of the other angle and also state what types of angles these are.
Lines & Angles
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Answer
At 7 o'clock, the hour hand is at 7 and the minute hand is at 12.
Angle between any two consecutive numbers = = 30°
The smaller angle covers the distance from 7 to 12 (5 numbers in the shorter way).
Smaller angle = 5 × 30° = 150°
The other angle = 360° - 150° = 210°
Since 150° lies between 90° and 180°, the smaller angle 150° is an obtuse angle.
Since 210° lies between 180° and 360°, the other angle 210° is a reflex angle.
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