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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# How many triangles can be made if one angle is 95° and another angle is obtuse?

We will use the concept of the sum of angles of a triangle to find the number of triangles.

## Answer: No triangle is possible if one angle is 95° and another angle is obtuse.

Let us see how we will use the concept of the sum of angles of a triangle to find the number of triangles.

**Explanation**:

We know that sum of all angles in a triangle is 180 degrees.

It is given that one angle is 95°. Hence, sum of the other two angles will be 180° - 95° = 85°

Since the sum of the other two angles is 85 degrees, each individual angle has to be an acute angle. But it is given that another angle is obtuse which is a contradiction.

### Hence, no triangle is possible if one angle is 95° and another angle is obtuse.

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