Can we construct a triangle whose angles are $65 °, 45 ° and 90 ° ?$

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Solution

Explanation:
The sum of all the three angles of a triangle is always $180 °$ .
Let us calculate the sum of given angles of a triangle as follows:
$65 ° + 45 ° + 90 ° = 200 °$
We can observe that sum of all the angle is not $180 °$ .
Therefore, we can not construct a triangle whose angles are $65 °, 45 ° and 90 ° .$

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Write True or False :

We can construct a triangle whose angles are $105$ $°$ , $70$ $°$ and $5$ $°$ .

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