SOLUTION: A quadrilateral angles of (3x)°, (x+14)°, (2x+5)°, (4x+1)°. What is the measure of the largest angle?

Algebra ->  Parallelograms -> SOLUTION: A quadrilateral angles of (3x)°, (x+14)°, (2x+5)°, (4x+1)°. What is the measure of the largest angle?       Log On


   

Question 940649: A quadrilateral angles of (3x)°, (x+14)°, (2x+5)°, (4x+1)°. What is the measure of the largest angle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A quadrilateral angles of %283x%29°, %28x%2B14%29°, %282x%2B5%29°, %284x%2B1%29°.
to find the measure of the largest angle, first find x
as you know the sum of all angles in a quadrilateral is 360°
so, we have:
3x%2B%28x%2B14%29%2B%282x%2B5%29%2B%284x%2B1%29=360
3x%2Bx%2B14%2B2x%2B5%2B4x%2B1=360
10x%2B20=360
10x=360-20
10x=340
x=340%2F10
x=34
now find angles:
%283x%29°=> %283%2A34%29°=> 102°
%28x%2B14%29° => %2834%2B14%29° => 48°
%282x%2B5%29° => %282%2A34%2B5%29°=> 73°
%284x%2B1%29° => %284%2A34%2B1%29°=>137°
so,the measure of the largest angle is highlight%28137%29°