SOLUTION: question: In a triangle the measure of the second angle is one-half the measure of the first angle. The third angle's measure if 20 degrees less than the measure of the first a

Question 25690: question:
In a triangle the measure of the second angle is one-half the measure of the first angle. The third angle's measure if 20 degrees less than the measure of the first angle. What are the masures of the angles?
Please help! daddy's girl
Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
Let the first angle = X
Therefore the 2nd angle becomes X/2 = 0.5X
And the 3rd angle becomes X-20
We know that sum of angles in a triangle = 180degrees
That means
X + 0.5X + X-20 = 180
Adding 20 on both sides
2.5X = 200
Dividing by 2.5 on both sids
X = 80
which means 2nd angle = 80/2 = 40
and the third angle = 80-20 = 60
Check:
Sum of the 3 angles
80+40+60 = 180degrees
Yay!!!
RELATED QUESTIONS
A triangle has one angle that measures 74�. The second angle is half the measure of the... (answered by mathie123)

In a triangle the measure of the first angle is one-half the measure of the second angle. (answered by Mathtut)

In a triangle the measure of the first angle is one-half the measure of the second angle. (answered by Edwin McCravy)

The second angle in a triangle is one and a half times the measure of the first. The... (answered by stanbon)

In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by mathchemprofessor)

In a triangle, the measure of the first angle is 20 more than the measure of the second... (answered by Fombitz)

the second angle is a triangle is one and a half times the measure of the first. the... (answered by stanbon)

In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)

The first angle of a triangle is half the measure of the second angle. The measure of the (answered by stanbon,RAY100)

The first angle of a triangle is half the measure of the second angle. The measure of the (answered by Fombitz)