Question

find m∠dcb. answer attempt 1 out of 2 m∠dcb =

Explanation:

Step1: Identify triangle type

The triangle has two equal - side markings, so it is isosceles. In an isosceles triangle, base - angles are equal. So $\angle B=\angle D = 47^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle DCB=x$. Then $x + 47^{\circ}+47^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(47^{\circ}+47^{\circ})=180^{\circ}-94^{\circ}=86^{\circ}$.

Answer:

$86$