Question

the figure is not drawn to scale. ∠abc is a right angle. find m∠cbd. m∠cbd = __ ° enter the answer

Explanation:

Step1: Recall angle - addition property

We know that $\angle ABC=\angle ABD+\angle CBD$, and $\angle ABC = 90^{\circ}$, $\angle ABD=75^{\circ}$.

Step2: Solve for $\angle CBD$

We can rewrite the equation as $\angle CBD=\angle ABC-\angle ABD$. Substituting the given values, we get $\angle CBD = 90^{\circ}-75^{\circ}$.

Answer:

$15$