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Use quadrilateral ABCD to find the value of X. The figure is not drawn to scale. Use the following dimensions: mABC=4x, mBCD=3x, mCDA=2x, mDAB=3x

Find the measure of each angle:

mABC=___ mBCD=___ mCDA=___ mDAB=___

Use quadrilateral ABCD to find the value of X The figure is not drawn to scale Use the following dimensions mABC4x mBCD3x mCDA2x mDAB3x Find the measure of each class=
Use quadrilateral ABCD to find the value of X The figure is not drawn to scale Use the following dimensions mABC4x mBCD3x mCDA2x mDAB3x Find the measure of each class=

Respuesta :

Answer: x=30

Step-by-step explanation:

The sum of the angles must be 360.

4x+3x+3x+2x = 12x

12x = 360

x =360/12 = 30

Answer:

The answer to your question is:

mABC = 120°               mBCD = 90°        mCDA = 60°          mDAB = 90°

Step-by-step explanation:

To solve this problem, we remember that the sum of the angles in a quadrilateral = 360°.

Then

360° = mABC +  mBCD + mCDA  + mDAB

360 = 3x + 4x + 3x + 2x                   substitution

360 = 12x                                         simplifying

x = 360/12

x = 30                                          

Now, we find the values of each angle

mABC = 4(30) = 120°         mBCD = 3(30) = 90°       mCDA = 2(30) = 60°

mDAB = 3(30) = 90°