Question

ABCD is a parallelogram,

Calculate the size of angle x.
You must give
reasons for your answer

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Answer 1

Explanation:

let point that BD intersects extended A be Z

angle BDA = 180 - 56 - 78 = 46 deg (supplementary angle in //ogram)

angle AZD = 180 - 98 = 82 deg (angles on a straight line/supplementary angles on straight line)

therefore,

angle x = 180 - 82 - 46 = 52 deg (sum angles of triangle)