Question

How many triangles can be constructed with angles measuring 25 degree, 25, degree and 130

A) None
B) One
C) More than one

Answer 1

Option: C is the correct answer.

C) More than one.

Step-by-step explanation:

With the help of angle measures 25 degree, 25 degree and 130 degree we can make infinite triangles whose sides lengths are different.

Also, we can see such a triangle is possible.

Since the sum of all the angles of a triangle must be 180° and these angle measure satisfy this condition.

i.e. 25°+25°+130°=180°

But given three side length measure a unique triangle is constructed.

Hence, the answer is:

Option: C (More than one)

Answer 2

Answer: Option (C) More than one

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

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

25° + 25° + 130° = 180° (The condition of a triangle is satisfied.)

HOWEVER, keeping angles the same as above, we can construct "More than one" triangles by varying the lengths of a triangle.

For example:
By keep the three angles of a triangle 25°, 25° and 130°, the triangle with the three sides of lengths 10, 10, 18.13 (respectively) is same as the triangle with the three sides of lengths 1, 1, 1.81 (respectively). Likewise, you can construct infinite number of triangles. Therefore, the correct option is "(C) More than one."