Can you construct a triangle whose measures are $90 °, 90 °$ and $30 °$ ?

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Solution

Given: Measure of angles of triangle are $90 °, 90 °$ and $30 °$ .
If the given angles verify angle sum property, then we can construct the triangle
We know the sum of angles of triangle is $180 °$ .
$= 90 + 90 + 30 = 210 ° \neq 180 °$
Hence no, we cannot construct the triangle.

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