Please help I have got my exams tomorrow
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sorry I don't know the answer
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Answer:
x = 108°
Step-by-step explanation:
from the given figure, the ΔABC is an Isosceles triangle
=> the base angles,∠B = ∠C
given that ∠A = 36°
we know ∠A + ∠B + ∠C = 180°
=> 36° + 2(∠B ) = 180°
=> 2*∠B= 180°-36° = 144°
=> ∠B= 144°/2 = 72°
=> ∠C = 72° ie, ∠BCA = 72°
we know that ∠BCA and ∠DCA are linear pairs (from the figure)
=> ∠BCA +∠DCA = 180°
=> 72° +∠DCA = 180°
=> ∠DCA = 180°-72° = 108°
now ∠DCA and x are opposite angles of a parallelogram
we have the property, opposite angles of a parallelogram are equal
=> x = ∠DCA
=> x = 108°
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