Answered

You’re given three angle measurements of 30°, 70°, and 80°. How many triangles can you construct using these measurements?

Verified Answer :

meerkat18

A Triangle is a polygon consisting 3 side and 3 angles. Each side can be equal to other side and also be not equal to other one but same the equal one. In terms of angle, the sum of all the 3 angles of a triangle should be 180. So with the values of angles you give, you can only construct 1 triangle because the sum of all its angle is 180.

calculista

Answer:

Infinite similar triangles

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In a triangle the sum of its internal angles must be equal to \(180\) degrees

In this problem

The sum of the internal angles is equal to \(180\) degrees

so

By the sum of the internal angles, we can construct a triangle

but

By the length of the sides keeping the same internal angles, we can construct infinite similar triangles.


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