SOLUTION: I triangle ABC,the measure of angle A is twice the measure of angle B. Angle C is 30 degrees more than angle A.How many degrees are therein each angle?

Algebra ->  Angles -> SOLUTION: I triangle ABC,the measure of angle A is twice the measure of angle B. Angle C is 30 degrees more than angle A.How many degrees are therein each angle?      Log On


   

Question 599475: I triangle ABC,the measure of angle A is twice the measure of angle B. Angle C is 30 degrees more than angle A.How many degrees are therein each angle?
Answer by Nihal@SriLanka(22) About Me  (Show Source):
You can put this solution on YOUR website!
Your question appears incomplete - there is no mention of angle B in the question. I have made a change to the question as i believe it should be - maybe you made an omission in copying or typing out the question.

The question as altered could be solved as follows.

First let us note the applicable theorem in Geometry : The angles of a triangle add up to 180 degrees.

Assume angle B is x degrees. Since we are given that angle A is twice angle B, angle A could be denoted by 2x.Since We are given that angle C is 30 degrees more than angle A, we can denote angle C by 30+2x.

Hence the total of all 3 angles of the triangle ABC could be denoted by
2x + x + 30+2x which should be equal to 180 degrees.

i.e. 2x + x + 30+x= 180
i.e. 5x + 30 = 180
i.e. 5x = 150
i.e. x = 30

Hence the angles of the triangle ABC are 60, 30 and 90 degrees respectively.