SOLUTION: The measure of angle 2 is 24 degrees greater than one half of the measure of angle 3 . Find the measure of each of the four angles formed by the intersecting lines.

Algebra ->  Angles -> SOLUTION: The measure of angle 2 is 24 degrees greater than one half of the measure of angle 3 . Find the measure of each of the four angles formed by the intersecting lines.       Log On


   

Question 1203769: The measure of angle 2
is 24 degrees greater than one half of the measure of angle 3
. Find the measure of each of the four angles formed by the intersecting lines.
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
What four angles? Either reliable description or a drawing or figure is necessary.

Intersecting lines?
Which are those angles 2 and 3 ?

Neighboring or adjascent angles?
t and 24%2Bt%2F2
-
180=t%2B24%2Bt%2F2
360=2t%2B48%2Bt
3t=360-48
3t=312
t=104


Measures of these two adjascent angles are 104 and 86 degrees.


Vertical Angles the #2 and #3?
t=24%2Bt%2F2
2t=48%2Bt
t=48
and then
other is 24%2B24=48
and you can find the measure of the other two angles.
The four angles would be 131, 48, 131, 48.