Question

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=___

Answer 1

The answer to your question is:

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

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°

Answer 2

Answer: x=30

Explanation:

The sum of the angles must be 360.

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

12x = 360

x =360/12 = 30