SOLUTION: ▱ABCD m∠A = (2x + 4)° and m∠B = (3x − 34)°. i found x which i got 42. Find the measure of each angle (in degrees) of ▱ABCD. m∠A = ° m∠B = ° m∠C = °

Algebra ->  Formulas -> SOLUTION: ▱ABCD m∠A = (2x + 4)° and m∠B = (3x − 34)°. i found x which i got 42. Find the measure of each angle (in degrees) of ▱ABCD. m∠A = ° m∠B = ° m∠C = °      Log On


   

Question 1193079: ▱ABCD
m∠A = (2x + 4)°
and
m∠B = (3x − 34)°.
i found x which i got 42.
Find the measure of each angle (in degrees) of
▱ABCD.
m∠A =
°
m∠B =
°
m∠C =
°
m∠D =
°
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have a parallelogram. If so than m+%3CA+=m+%3CC and m+%3CB+=m+%3C+D

given:
m <A+=+%282x+%2B+4%29°
and
m < B+=+%283x+-34%29°.

then
m+< A+=+180- m < B+
2x+%2B+4=180-%283x+-34%29
5x+=+210+
x=42

then
m<A+=+%282%2A42+%2B+4%29+=88°=>m<C=88°
m< B+=+%283%2A42+-34%29=92°=>m< D=92°

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


You have solved correctly for x.

Angles A and B are supplementary, so

(2x+4)+(3x-34)=180
5x-30=180
5x=210
x=42

Now plug in x=42 to find the measure of angle A (2x+4) and angle B (3x-34).

Then, since this is a parallelogram, the measure of angle C is the same as angle A, and the measure of angle D is the same as angle B.