A triangle has one 30° angle, an unknown angle, and an angle with
a measure that is twice the measure of the unknown angle. Find the
measures of the triangle's unknown angles and explain how you
found
the answer

Respuesta :

Answer:

50 and 100

Step-by-step explanation:

We know a triangle's interior angles add up to 10 and 30+x+2x=180. We can solv from there.

  1. 30+x+2x=180
  2. Add like terms, 30+3x=180
  3. Subtract. 3x=150
  4. Divide, x=50

Check your work.

  1. 30+1(50)+2(50)=180
  2. Multiply, 30+50+100=180
  3. Add, 180=180