Question

How many triangles can be constructed with angles measuring 90 degree, 60 degree, and 60 degree?

A) One
B) More than one
C) None

Answer 1

Option C ) None

Step-by-step explanation:

In Euclidean geometry we have sum of 3 angles of any triangle would be 180 degrees or 2 right angles.

Here given that angles of a triangle are 90,60 and 60

When we add up we get

90+60+60 =210>180

Since sum of angles is not equal to 180, the figure formed is not at all a triangle,

Hence no triangle can be drawn with angles measuring 90 degree, 60 degree, and 60 degree

Correct option is

Option C) NOne

Answer 2

The correct option is: Option (C) None

Step-by-step explanation:
All triangles must satisfy the following condition:

"The sum of all the angles of a triangle should be 180°."

90° + 60° + 60° = 210°

210° > 180°; therefore, the condition of a triangle is NOT satisfied.

Hence the correct option is "(C) None." (as the condition of a triangle is not satisfied)