The BDC angle is 5 times the ADB angle. Find ADB angle, BDC angle.

Let the value of the angle ADВ = X0, then, by condition, the angle ВDС = 5 * X0.

The angles ADВ and ВСD are adjacent, the sum of which is 180.

Angle ADВ + ВDС = 180.

X + 5 * X = 180.

6 * X = 180.

X = ADВ = 180/6 = 30.

Then the angle ВDС = 5 * 30 = 150.

Answer: Angle ADВ is 30, angle ВDС is 150.



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