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What is the value of z in the diagram?

March 22, 2026Mathematics

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Answer

30^\circ

3 steps

The sum of the interior angles in any triangle is $180^\circ$ .
$\angle A + \angle ABD + \angle ADB = 180^\circ$
From the diagram, $\angle ADB = 90^\circ$ and $\angle ABD = 60^\circ$ .
Substitute the known values:
$\angle A + 60^\circ + 90^\circ = 180^\circ$
Simplify the equation.
$\angle A + 150^\circ = 180^\circ$ $\angle A = 180^\circ - 150^\circ$ $\angle A = 30^\circ$
30^\circ

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