Question

1. find m∠cdj if m∠cde = 76° and m∠jde = 36°. ∠cdj = ______

Explanation:

Step1: Identify angle - relationship

We know that \(\angle CDE=\angle CDJ+\angle JDE\).

Step2: Rearrange the formula to find \(\angle CDJ\)

\(\angle CDJ=\angle CDE - \angle JDE\).

Step3: Substitute the given values

Given \(\angle CDE = 76^{\circ}\) and \(\angle JDE=36^{\circ}\), then \(\angle CDJ = 76^{\circ}-36^{\circ}\).

Step4: Calculate the result

\(\angle CDJ = 40^{\circ}\)

Answer:

\(40^{\circ}\)