Question

ABCD is a parallelogram in which<A= 75°. Find the measure of each of the angles <3.< C and <D​

Answer 1

adjacent angles of parallelogram are supplementary

angle A + angle B = 180⁰

75⁰ + B = 180⁰

B = 180⁰- 75⁰

B= 105⁰

Now,

opposite angles of parallelogram are congruent

therefore

angle A = angle D = 75⁰

angle B = angle C = 105⁰

to cross check the answer you can use the property that sum of all angles of a quadrilateral is 360⁰

75+75+105+105 = 360⁰

hope it helps : )

have great day !