Question

A triangle has three angles. The first angle measures 20 less than a number. The second triangle is theee times the number. The third is the number. What are the measurements of each of the three angles in this triangle?

Answer 1

Answer is:
Angle 1 = 20
Angle 2 = 120
Angle 3 = 40

Step by step:

The 3 angles will equal 180 degrees

Our equation is
n-20 + 3n + n = 180

Add 20 to both sides to isolate n

n -20 +20 +3n + n = 180 + 20

n + 3n + n = 200

Combine like terms

5n = 200

Divide both sides by 5 to solve for n

5/5 n = 200/5

n = 40

Now back to our question

The first angle is n-20
So 40 - 20 = 20

The second angle is 3n
So 3 x 40 = 120

The third angle is n
So 40

So the three angles are 20, 120 and 40
Check your work, yes they add up to 180.

Problem solved!