Can the smallest side of a triangle lie opposite an angle of 63 °?

We know from the condition that one of the angles of the triangle has a degree measure of 63 °.

It is known that the sum of the angles of a triangle is 180 °. Also, according to the property of a triangle, a smaller angle should lie opposite the smaller side.

If, according to the conditions, the smaller side lies opposite an angle of 63 °, then the remaining angles must be greater than 63 °.

Let’s calculate the sum of the angles of the triangle:

180 ° – 63 ° = 117 °.

Divide by 2 and get:

117 °: 2 = 58.5 °.

We conclude that this cannot be.

Answer: it cannot.