Question

the number 1 4 8 on a clock face are joined to make a triangle calculate the angles of the triangle​

Answer 1

Step-by-step explanation:

i think it's a right angle triangle

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Answer 2

Answer:

We know that a clock is a circle. And, a circle is made of 360°.

The clock has 12 numbers & each number represents an angle and the separation between them is  

Suppose, is the clock reads, 3pm, then the angle subtended at the centre will be equal to 30° × 3 = 90°.  

Concept involved:

Theorem (1) : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Now,

∠COB = 120° (30° × 4)

From theorem (1),

The ∠CAB = 1/2 ∠COB = 60°.

And, ∠ABC = 30° × 3 = 90°.

From theorem (1), ∠ACB = 45°

Now in a triangle, all the angles sum is 180°

⇒, ∠1 + ∠4 + ∠8 = 180°

⇒ 60° +∠4 + 45° = 180°

∠4 = 75°

Hence, all the three angles are 60°, 45° and 75°                                                                                  HOPE IT HELPS YOU