Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.
In $△ ABC, ∠ A = 85 °, ∠ C = 115 °, AB = 5 cm$

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Solution

Given, in $△ ABC, ∠ A = 85 °, ∠ C = 115 °, AB = 5 cm$
We know that the sum of all angles of a triangle is $180 °$ .
Here, $∠ A + ∠ C = 85 ° + 115 ° = 200 °$
Therefore, $△ ABC$ cannot be constructed.

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Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.In △ABC,∠A=85°,∠C=115°,AB=5cm

Given, in △ABC,∠A=85°,∠C=115°,AB=5cmWe know that the sum of all angles of a triangle is 180°.Here, ∠A+∠C=85°+115°=200°Therefore, △ABC cannot be constructed.

Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.
In $△ ABC, ∠ A = 85 °, ∠ C = 115 °, AB = 5 cm$

Given, in $△ ABC, ∠ A = 85 °, ∠ C = 115 °, AB = 5 cm$
We know that the sum of all angles of a triangle is $180 °$ .
Here, $∠ A + ∠ C = 85 ° + 115 ° = 200 °$
Therefore, $△ ABC$ cannot be constructed.