Answer:
The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.
Step-by-step explanation:
Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26
Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.
The length of midsegment is average of length of parallel lines.
Draw perpendiculars on AD from B and C. Let angle A be θ. D
Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC
Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.
The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.
Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.
