Question

The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is three times

the smallest angle and the third angle is 30° greater than the smallest angle.

Answer 1

90°, 60°, 30°

Explanation:

Let's model the given information with an equation. x will equal the measure of the smallest angle. Since the sum of a triangle's angles will always be 180, we set the equation equal to 180.

x+x+30+3x=180

First, combine the like terms. Get all the x terms onto one side and all the integers to the other.

5x=150

Divide both sides by 5 to get the value of x.

150/5=30

We now know x (the smallest angle) is 30. Now, we use the given information about the smallest angle's relation to the other angles to find the other angle measures.

30+30=60

3×30=90