Thank you so much in advance for your help!

(1) Let WZYZ be a trapezoid with bases XY andWZ. In this trapezoid,angle ZXW = 105,angle XWZ = 43 , and angle XYZ = 141. Find angle YXZ in degrees.

(2) In trapezoid EFGH,line EF is parallel to line GH and P is the midpoint of side line EH If the area of triangle $PEF$ is 8 , and the area of triangle $PGH$ is 21 , then find the area of trapezoid $EFGH$ .

(3) Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F be the intersection of lines DE and BC. The area of triangle EBF is 1 and the area of triangle EAD is 9 Find the area of parallelogram ABCD.

(4) In trapezoid ABCD, AB is paralell to CD, and AB < CD. The base CD has a length of 8 The legs AD and BC have lengths of 7 and the diagonal BD has a length of 9 Find the area of the trapezoid.

Thanks!

Guest Aug 15, 2020

#1**0 **

I've done these problems!

1. Angle YXZ = 46 degrees.

2. The area of trapezoid EFGH is 50.

Guest Aug 15, 2020

#3**+4 **

(1) Let WZYZ be a trapezoid with bases XY and Z. In this trapezoid,angle ZXW = 105,angle XWZ = 43 , and angle XYZ = 141. Find angle YXZ in degrees.

1/ Angle YXZ = 32 degrees.

(2) In trapezoid EFGH, line EF is parallel to line GH and P is the midpoint of side EH. If the area of triangle PEF is 8, and the area of triangle PGH is 21, then find the area of trapezoid EFGH.

2/ The area of a trapezoid EFGH is 58 units squared.

( I used the right trapezoid with side lengths: EF = 8, GH = 21, and EH = 4 )

(3) Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F be the intersection of lines DE and BC. The area of triangle EBF is 1 and the area of triangle EAD is 9 Find the area of parallelogram ABCD.

3/ Area of parallelogram ABCD = 24 u^{2}

(4) In trapezoid ABCD, AB is parallel to CD, and AB < CD. The base CD has a length of 8 The legs AD and BC have lengths of 7 and the diagonal BD has a length of 9 Find the area of the trapezoid.

4/ Area = 6√45

Dragan Aug 16, 2020