SOLUTION: In a triangle, one angle is 4 times the measure of the second angle. the third angle is seven times the measure of the second angle. find the measure of each angle. hint: draw and

Question 177443: In a triangle, one angle is 4 times the measure of the second angle. the third angle is seven times the measure of the second angle. find the measure of each angle. hint: draw and label a diagram.
Thanks for helping me out on this!
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call our angles a,b,and c
:
we are given that
:
a=4b.......eq 1
c=7b.......eq 2
: we know by rule that:
a+b+c=180..eq 3
:
lets plug a's value from eq 1 and c's value from eq 2 into eq 3
:
4b+b+7b=180
:
12b=180
:
degrees
:
degrees
:
degrees
RELATED QUESTIONS
In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)

in a triangle, the measure of one angle is twice the measure of the second angle. The... (answered by rfer)

Given a right triangle, find the measures of all the angles, in degrees, if one angle is (answered by VFBundy,ikleyn)

In a triangle, one angle is three times the measure of the second angle. The third angle (answered by stanbon)

in a triangle the measure of the first angle is three times the measure of the second... (answered by checkley79)

In a triangle the measure of the first angle is three times the measure of the second... (answered by cleomenius)

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)

The sum of the angles of a triangle is 180. The second angle is three times the measure... (answered by ikleyn)