56.0k views
0 votes
How many different triangles can you make if you are given these three measurements for angles?

How many different triangles can you make if you are given these three measurements-example-1
User Tarkan
by
4.4k points

2 Answers

4 votes

Answer:

The correct answer option is: infinitely many triangles.

Explanation:

We are given three measurements of angles and asked about how many different triangles can we make with these three angles.

We know that the sum of angles in a triangle is always equal to 180 degrees.

20° + 70° + 90° = 180°

So we can use the same measure of angles but change the measure of side lengths. Therefore, we can make infinitely many triangles by varying these measurements of sides.

User Europeuser
by
6.4k points
6 votes

Answer:

Infinitely many triangles.

Explanation:

We have a triangle ABC with measures of the angles as 70°, 90° and 20°.

Now, as we know that,

'The measures of the three angles of a triangle must be 180° '.

Moreover,

70° + 90° + 20° = 180°

Thus,many triangles can be made using these three angles.

Hence, with the given measurements of the angles, we can make infinitely many triangles.

User Iambinodstha
by
4.6k points