Question

the ratio of one inner angle and one outer angle of a regular polygon is 1:1.what is the measure of the inner angle and the outer angle?​

Answer 1

Answer:

Step-by-step explanation:

Consider ABC as a right-angled triangle with ∠C=90  

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We know that the sum of all the angles in a triangle is 180  

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.

So we can write it as

∠A+∠B+∠C=180  

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We can write it as

∠A+∠B=180  

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−∠C

By substituting the values

∠A+∠B=180  

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−90  

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By subtraction

∠A+∠B=90  

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Let us consider ∠A=53  

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By substituting the value of ∠A in ∠A+∠B=90  

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We get

53  

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+∠B=90  

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On further calculation

∠B=90  

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−53  

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By subtraction

∠B=37  

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Therefore, ∠A=53  

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,∠37  

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 and ∠C=90  

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.