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given: ab = bc ∠adb= 60 37.5 30

Question

given:
ab = bc
∠adb=
60
37.5
30

Explanation:

Step1: Analyze triangle \(ABD\)

In \(\triangle ABD\), \(\angle A = 60^{\circ}\), \(\angle ABD=60^{\circ}\). By the angle - sum property of a triangle (\(\angle A+\angle ABD+\angle ADB = 180^{\circ}\)).

Step2: Calculate \(\angle ADB\)

Substitute the values into the formula: \(\angle ADB=180^{\circ}-\angle A - \angle ABD\).

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Answer:

\(60\)