Question

At 5 O` clock the hands of a clock make an obtuse angle and a reflex angle. Find the measure of each of these angles.

Answer 1

Step-by-step explanation:

Given : At 5' o clock

Find : Measure each angle

Solution : Let obtuse angle be x

Then reflex angle is 360° we know that very well

So Arranging Equation According to Question

360° - x

Now, measure obtuse angle at 5'o clock

= 5 × 360° / 12 ° ( divided by 12° to 360° )

= 5 × 30°

= 150°

So Putting value in x

Reflex angle = 360° - x

Reflex angle = 360° - 150°

Reflex angle = 210°

The Angle are 150° , 210 °

Answer 2

Answer :

• Angles are 210⁰ and 150⁰

Given :

• At 5 o clock the hands of a clock makes an obtuse angle and a reflex angle

To find :

• Measure of each of these angles

Solution :

• Let the obtuse angle be x

We know that

• Reflex angle = 360⁰ then,

• Reflex angle be 360 - x

Now, at 5 o clock the hands of clock make an obtuse angle we need to measure

In a clock, there are 12 hours so each hours make

》5 × 360⁰ / 12⁰

》5 × 30⁰

》150⁰

we need to find reflex angle

》360⁰ - x

》 360⁰ - 150⁰

》210⁰

• 150⁰ is obtuse angle
• 210⁰ is reflex angle

Angles are 210⁰ and 150⁰

Verification :

》150 + 210

》360⁰

Hence, Verified.