Question

In the given fig. ABCD is a parallelogram with angle CAD=40° and ∠B=110°. Find the values of x and y. *

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Answer 1

Answer:

y = 40°

x = 30°

Step-by-step explanation:

angle DAB + angle ABC= 180°

:. angle DAB + 110° = 180°

:. angle DAB = 180° - 110°

:.angle DAB = 70°

angle CAB = DAC- DAB

:. angle CAB = 70° - 40°

:.angle CAB = 30°

:.x = 30°

In triangle ABC

angle A + angle B + angle C = 180°

:.30° + 110° + angle C = 180°

:. 140° + angle C = 180°

:. angle C = 180° - 140°

:. angle C = 40°

:. y= 40°