Aplot of land has been surveyed for a new housing development with borders ab, bc, dc, and da. the plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet. if the measure of angle bcd is 61, the measure of angle abc is if the length of base ab is 80 feet, the length of dc is feet.

Length of DC= 105 feet.

Explanation:

Given

Right  trapezoid means two angle are of 90 degree.

Draw a perpendicular BE and BE AD .

Length of AB=80 feet

Length of BC=65 feet

Length of AD=60 feet

Length of DC= DE+ EC

Let length of EC= x

Quadrilateral ABED is a parallelogram

ABDE and AB= DE=80 feet

AD= BE=60 feet

Therefore, Length of DC= 80+x

In

By using pythogorous theorem

x=25

Therefore, length of DC= DE+EC=80+25=105 feet .

In quadrilateral ABCD

By usnig property of  sum of angles of quadrilateral