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Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.
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Solution
Given, ∠1 = ∠3 ...(i)
And ∠2 = ∠4 ...(ii)
According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.
On adding equations (i) and (ii), we get
∠1 + ∠2 = ∠3 + ∠4
⇒ ∠A = ∠C
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