SOLUTION: angle a is 4 times as large as angle b and angle c is 20 degrees less than angle b...what does each angle equal?

Question 15291: angle a is 4 times as large as angle b and angle c is 20 degrees less than angle b...what does each angle equal?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Since angle a is given in terms of angle b and angle c is given in terms of angle b, everything is in terms of angle b, so let x = angle b.

Let x = angle b
4x = angle a
x-20 = angle c

The sum of the angles is 180 degrees.
x + 4x + x - 20 = 180
6x - 20 = 180
6x = 200 {Note: Answer doesn't come out even, but then that's life sometimes!)
x= 200/6 = 100/3 = 33 1/3 degrees -- angle b
4x = 400/3 = 133 1/3 degrees -- angle a
x-20 = 33 1/3 - 20 = 13 1/3 degress -- angle c
Check: 33 1/3 + 133 1/3 + 13 1/3 = 180 degrees
It checks!

R^2 at SCC

Check:

RELATED QUESTIONS
in triangle ABC, angle C is three times as large as angle A. Angle B measures 5 degrees... (answered by pmatei)

the sum of the angles is 180 degrees. in triangle ABC angle A if four times as large as... (answered by checkley77)

In triangle ABC, angle A is twice as large as angle B. Angle B is 4 degrees larger than... (answered by drj,likaaka)

angle B is 4 times angle A and Angle C is 2O degrees less than 5 times angle... (answered by Alan3354)

angle B is 3 times angle A and angle C is 4 degrees less than 6 times angle A what is... (answered by ewatrrr)

In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC,... (answered by MArk_HeRras)

In a triangle, angle A is 20 degrees more than twice times as angle B and 45 degrees less (answered by Fombitz)

In any triangle the sum of the measures of the angle is 180. In ABC, angle A is twice as... (answered by vianix15)

in any triangle, the sum of the measures of the angle is 180 degrees. In triangle ABC,... (answered by checkley79)