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

Question 1193000: Suppose
m∠A = (2x + 4)°
and
m∠B = (3x − 34)°.
Find the measure of each angle (in degrees) of
▱ABCD.
m∠A =
°
m∠B =
°
m∠C =
°
m∠D =
°
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


In each parallelogram, the adjacent angles are supplementary, i.e. sum up to 180 degrees.


Angles A and B are adjacent, so you write this equation

    (2x + 4 ) + (3x - 34) = 180  degrees.


Simplify and find x

     2x + 4 + 3x - 34 = 180

         5x  - 30     = 180

             5x       = 180 + 30

             5x       = 210

              x       = 210/5 = 42.


Having x, find the angles.  Use the given formulas.

Solved (which means that the way is shown and you are fully instructed).

-------------------

Comment from student : ok so since i have x how would i find the measures of a,b,c and d ? should i divide 42 into 180?

My response : In your post, there are formulas expressing angles via x.

Substitute the value of x= 42 degrees in these formulas and calculate the angles.

Keep in mind that in parallelogram opposite angles are congruent, i.e. have equal degree measures.

It will help you to find all angles.

RELATED QUESTIONS
In the diagram of isosceles trapezoid ABCD, AB = CD. The measure of angle B is 40... (answered by MathLover1)

In the accompanying diagram of parallelogram ABCD, m∠A = (2x + 10) and m∠B... (answered by nyc_function)

In parallelogram ABCD, m < A= 3x and m < B= 4x+10. Find the measure of angles... (answered by MathLover1)

Can i get step by step help with this question, not sure where to start here, im getting... (answered by josgarithmetic)

Can i get step by step help, ive gotten the answer wrong.Consider ▱ABCD. Suppose:... (answered by josgarithmetic)

Consider ▱ABCD. Suppose: m∠A = (2x + 4)° and m∠B = (3x − 34)°. Find x. (answered by josgarithmetic)

. In a parallelogram ABCD the m⦟A (measure of angle A) = 8x - 10 and m⦟B =... (answered by Zucchini)

Find the measure of each angle: angle A and angle B are supplementary, m angle A=3x+12 (answered by jojo14344)