Find error in the following diagram:
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In the given diagram:
∠ 1 = 110° and it's an exterior angle
∠ 2 & ∠ 3 = 59° & 65° respectively and they are interior opposite angle
As per Exterior Angle Property of Triangle:
∠ 1 = ∠ 2 + ∠ 3
Put the values of ∠ 1, ∠ 2 & ∠ 3 from above and we get:
110 = 59° & 65°
Solve R.H.S and we get
110° = 124°
We can see above that:
110° ≠ 124°
But, as per Exterior Angle Property of Triangle:
Exterior Angle = Sum of Interior Opposite Angles
Therefore, we can conclude that the measure of ∠ 1, ∠ 2 & ∠ 3 are incorrect as against what are given in the question.
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