Question

Triangle DEF has the following characteristics: a right angle and two other angles that have measures of 100° and 10°.

How many different triangles can be drawn with these angle measures?

More than 2 triangles are possible.


No triangle is possible.


Exactly 2 triangles are possible.


Exactly 1 triangle is possible.

Answer 1

No triangles are possible

Answer 2

No triangle is possible. The sum of the interior angles of a triangle must be 180°. However, the sum of the given angles is 100° + 10° + 90° = 200°, which is greater than 180°. Therefore, no triangle can be drawn with these angle measures.