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Q.

If all the three angles of a triangle are equal, then each one of them is equal to ____ ∘  .


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Detailed Solution

If all the three angles of a triangle are equal, then each one of them is equal to 60 ∘  .
According to the question,
∠A = ∠B = ∠C …….. 1   Using angle sum property,
∠A+∠B+∠C= 180 ° ⇒∠A+∠A+∠A= 180 °   ⇒3∠A= 180 °  
⇒∠A= 180 ° 3 ⇒∠A= 60 ° ………(2)   ⇒∠A=∠B=∠C= 60 °   Hence the measure of each angle is 60 ∘  .
 
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