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°