In triangle ABC, A is four times as large as B. angle C is 20degrees less than B. What is the measure of each angle?
In triangle ABC, A is four times as large as B. angle C is 20degrees less than B. What is the measure of each angle?
One angle =B
Angle A =4B
Angle C =B - 20
B + 4B + B - 20 =180
6B =180 +20
6B =200
B=200/6
B=33 1/3, A =33 1/3 x 4 =133 1/3, C=33 1/3 - 20 =13 1/3,
A + B + C =133 1/3 + 33 1/3 + 13 1/3 =180 degrees.