The m∠B is 93°, mBC is 58°, and mCD is 106°. Find the missing angle measures. (2 points)

m∠A= °, m∠C= °, and m∠D= °

1 answer

To find the missing angle measures, we can use the angle sum property of a quadrilateral, which states that the sum of all angles in a quadrilateral is 360 degrees.

m∠A = 360 - (m∠B + mBC + mCD)
m∠A = 360 - (93 + 58 + 106)
m∠A = 360 - 257
m∠A = 103°

Now, we can find m∠C by using the fact that opposite angles in a quadrilateral are supplementary.

m∠C = 180 - mBC
m∠C = 180 - 58
m∠C = 122°

Finally, we can find m∠D by using the angle sum property of a triangle.

m∠D = 180 - mCD
m∠D = 180 - 106
m∠D = 74°

Therefore, the missing angle measures are m∠A = 103°, m∠C = 122°, and m∠D = 74°.