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in the figure below, m∠abd = 71° and m∠2 = 46°. find m∠1.

Question

in the figure below, m∠abd = 71° and m∠2 = 46°. find m∠1.

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABD=\angle 1+\angle 2$.

Step2: Solve for $\angle 1$

$\angle 1=\angle ABD - \angle 2$. Substitute $\angle ABD = 71^{\circ}$ and $\angle 2 = 46^{\circ}$ into the equation. So, $\angle 1=71^{\circ}-46^{\circ}$.

Answer:

$25$