The angles for the larger base of the trapezoid are 75 degrees and 43 degrees. Find corners with a smaller base.

Given: trapezium ABCD, angles for a larger base CAD = 43, DBA = 75.

Find: Angles with smaller base ACD and BDC.

Solution:
Since the sum of the opposite angles of the trapezoid is 180, then the angles at the base will be equal:

ACD = 180 – 43 = 137

BDC = 180 – 75 = 105




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