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 °

Question 1193036: 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.

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

The sum of the angle measures is 360 degrees.

Using the given expressions for the measure of each angle, write and solve the equation that says so for x, then use that value of x to find the measure of each angle.

The process is basic algebra; you should be able to do it without our help.

If you need help with this, re-post, showing what work you have done and telling us exactly where you need help.

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The sum of the measures of ALL FOUR angles is 360 degrees:

(x+14)+(2(x+2))+((3/2)x-13)+((7/3)x-14)=360

Work from there....

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