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2. AB – AD and BC - DC. Solve for x:

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Answer:

From the diagram since AB = AD = BD, hence ABD is an equilateral triangle. (All angles = 60 degrees)

ADC is a straight line, hence BDC = 120 degrees and triangle BDC is an isosceles triangle.

Hence angle B = C and B+C = 180-120 = 60 degrees.

Hence, (x) angle C = A. 30 degrees

Explanation:

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