SOLUTION: In a triangle, the measure of the first angle is 24 degrees more then the second angle. The measure of the third angle is four times more then the second angle. If the total number

Question 762194: In a triangle, the measure of the first angle is 24 degrees more then the second angle. The measure of the third angle is four times more then the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let A = the first angle
Let B = the second angle
Let C = the third angle
Equation 1:
Equation 2:
Equation 3:
-------------------------
Note that equations 2 & 3 are solved in terms of B.
Plug (B + 24) into equation 1 for A and plug (4B) into equation 1 for C.
Equation 1:

Combine like terms.

Subtract 24 from both sides.

Divide both sides by 6.

Using 26 for B, solve for A & C.
------------------------
Equation 2:

------------------------
Equation 3:

The largest angle is 104 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)

The measure of second triangle is 21 degrees more than measure of the first angle. The... (answered by pwac)

in a triangle the measure of the first angle is twice the measure of the second angle.... (answered by ewatrrr)

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 20 more than the measure of the second... (answered by Fombitz)

Find the measure of the angle of a triangle if the measure of the first angle is twice... (answered by rfer)

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

 The measure of the third angle of a triangle is 38 degrees more than the second... (answered by rwm)

In a triangle the measure of the second angle is 30 degrees more than the measure of the... (answered by TimothyLamb)