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A plot of land has been surveyed for a new housing If the measure of angle BCD is 67.4°, the measure of development with borders AB, BC, DC, and DA. The plot angle ABC is of land is a right trapezoid with a height of 60 feet and an If the length of base AB is 80 feet, the length of DC is opposite leg length of 65 feet.

if the measure of the angle BCF is 67.4, the measure of angle ABC is _____°
if the length of base AB is 80 feet the length of DC is _____ feet.
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Answer:

If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°

If the length of base AB is 80 feet the length of DC is 105 feet.

Step-by-step explanation:

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If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°. If the length of base AB is 80 feet the length of DC is 105 feet.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

A plot of land has been surveyed for a new housing If the measure of angle BCD is 67.4°, the measure of development with borders AB, BC, DC, and DA.

The plot angle ABC is of land is a right trapezoid with a height of 60 feet and an If the length of base AB is 80 feet, the length of DC is opposite leg length of 65 feet.

Right trapezoid means two angles are of 90 degrees.

Quadrilateral ABED is a parallelogram

ABDE and AB= DE=80 feet

AD= BE=60 feet

Therefore, Length of DC= 80+x

Therefore, length of DC = DE + EC

= 80 + 25

= 105 feet .

If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°

If the length of base AB is 80 feet the length of DC is 105 feet.

Learn more about angles here:

https://brainly.com/question/2882938

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