ABCD is a parallelogram in which A =110°. Find the measure of each of the angles B, C and D.

Since the sum of any two adjacent angles of a parallelogram is 180°,


A + B = 180°


110° + B = 180°


B = (180° - 110°) = 70°


Also, B + C = 180° [Since, B and C are adjacent angles]


70° + C = 180°


C = (180° - 70°) = 110°.


Further, C + D = 180° [Since, C and D are adjacent angles]


110° + D = 180°


D = (180° - 110°) = 70°.


Therefore, B = 70°, C = 110° and D = 70°.


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