find the angle

Geometry Level 1

If the angle ∠DGB is twice the angle ∠DBG. find the angle ∠CAG.......


The answer is 40.

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1 solution

As ∠DGB is twice ∠DBG, the ∠DBG must be 40° and ∠DGB must be 80°.

So the angle ∠CGA will also be 80°.

Again from the circle we get ∠GCA = ∠ GDB = 60°.

As the summation of all angle of triangle ACG is 180°. we get ∠CAG = 40°

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