SOLUTION: For a quadrilateral ABCD, the measures of its angles are given below. m∠A = (x + 14)° m∠B = (2(x + 2))° m∠C = 3/2 x − 13 ° m∠D = 7/3 x − 14 °Find x. then

Algebra ->  Formulas -> SOLUTION: For a quadrilateral ABCD, the measures of its angles are given below. m∠A = (x + 14)° m∠B = (2(x + 2))° m∠C = 3/2 x − 13 ° m∠D = 7/3 x − 14 °Find x. then      Log On


   

Question 1193037: For a quadrilateral ABCD, the measures of its angles are given below.
m∠A = (x + 14)°
m∠B = (2(x + 2))°
m∠C =
3/2
x − 13
°
m∠D =
7/3
x − 14
°Find x.
then, Find the measure of each angle (in degrees) of ABCD.
I'm not sure where to even start here. here's what I got so far: x+14+2x+4=360..and x+10+2x=360...so x+10=360..and i got 36
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
For a quadrilateral ABCD, the measures of its angles are given below.
m%3CA+=+%28x+%2B+14%29°
m%3CB+=+%282%28x+%2B+2%29%29°=%282x+%2B+4%29°
m%3CC+=%283%2F2%29x+-+13°
m%3CD+=%287%2F3%29x-14°
Find x.
x+%2B+14%2B2x+%2B+4%2B%283%2F2%29x+-13%2B%287%2F3%29x-14=360
3x+%2B+3x%2F2%2B7x%2F3-9=360.......both sides multiply by 6
+18x%2B9x%2B14x-54=2160
+41x=2160%2B54
+41x=2214
+x=2214%2F41
x=54

then, measures of angles are:
m%3CA+=+x+%2B+14=54%2B14=68°
m%3CB+=2%2A54+%2B+4=112°
m%3CC+=%283%2F2%2954+-+13=68°
m%3CD+=%287%2F3%2954-14=112°

also, since you have a quadrilateral you know that opposite angles are equal

then you can find the value of x this way:
<A=C
x+%2B+14=%283%2F2%29x+-+13
13+%2B+14=%283%2F2%29x+-x
27=x%2F2
x=54



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

For a quadrilateral ABCD, the measures of its angles are given below.
m∠A = (x + 14)°
m∠B = (2(x + 2))°
m∠C =
3/2
x − 13
°
m∠D =
7/3
x − 14
°Find x.
then, Find the measure of each angle (in degrees) of ABCD.
I'm not sure where to even start here. here's what I got so far: x+14+2x+4=360..and x+10+2x=360...so x+10=360..and i got 36
The answer depends on whether the given angles are: