At 10 o'clock the hands of a clock make an acute angle and a reflex angle. Find the measure of each of these angles.
Lines & Angles
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Question

At 10 o'clock the hands of a clock make an acute angle and a reflex angle. Find the measure of each of these angles.

KnowledgeBoat · Accepted Answer

A clock is a circle of 360°, divided into 12 hours. Therefore, each hour gap represents: Acute Angle: At 10 o'clock, the minute hand is at 12 and the hour hand is at 10. The shortest distance between them is 2 hour gaps (from 10 to 11, and 11 to 12). ∴ 2 x 30° = 60° Reflex Angle: This is the larger outer angle between the two hands. ∴ 360° - 60° = 300° The acute angle is 60° and the reflex angle is 300°.

Mathematics

At 10 o'clock the hands of a clock make an acute angle and a reflex angle. Find the measure of each of these angles.

Lines & Angles

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