Question

Calculate the measure of each lettered angle in the following figure:
Please Tell The Solution​

Answer 1

In the given figure

AC || DB

CD || AB

Thus quadrilateral ABCD is a parallelogram (||gm)

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•FINDING ∠CAB & ∠CDB

∠CAB = 180° - 75°

∠CAB = 105°

∠CAB = ∠CDB = 105°

{Opposite angle in a ||gm are equal}

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•FINDING ∠ACD & ∠ABD

∠ACD = 180° - 105°

∠ACD= 75°

{sum of adjacent angle in a ||gm is 180°}

∠ACD = ∠ABD = 75°

{Opposite angle in a ||gm are equal}

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I hope it helps !!