In triangle ABC, angles A and B are equal and angle C is 20 degree more than the equal angles. Find the angles
Answers
Answer:
With a problem like this, it helps to break the problem down into pieces that you can define each angle:
In triangle ABC,
What are the angles?
the angles are A, B and C
What is the sum of all three angles in a triangle?
A + B + C = 180°
the measure of angle B is three times that of angle A.
What is angle B equal to, mathematically?
B is equal to 3A
the angles are now A, 3A and C
The measure of angle C is 20 degrees more than that of angle A.
What is angle C equal to, algebraically?
C is equal to A+20
the angles are now A, 3A, and A+20
How do you find the angle measures?
What is the sum of all angles in a triangle?
A + B + C = 180°
Write it again, this time with B = 3A, and C = A+20
A + (3A) + (A+20) = 180°
Simplify:
A + 3A + A + 20 = 180°
5A + 20 = 180°
Solve for A and you have angle A, then reread the above to get B and C.
I’m going to let you finish it from here.
What did you get?
Be sure you double check your answer.
Do your three angles add up to 180?
Is B triple the value of A?
Is C 20 more than A?
Answer:
a=b=53.3..... degrees
c=73.3.... degrees
Step-by-step explanation:
let a=b be x
c=x+20
a+b+c=180 degrees
x+x+x+20=180
3x+20=180
3x=180-20
x=160/2
a=b=53.333...
c=53.33....+20=73.333