Question

solve for m∠def if m∠deg = 36° and m∠gef = 35°.

Explanation:

Step1: Identify angle addition

To find \( m\angle DEF \), we use the angle addition postulate, which states that if a point \( G \) lies in the interior of \( \angle DEF \), then \( m\angle DEF = m\angle DEG + m\angle GEF \).

Step2: Substitute given values

We know \( m\angle DEG = 36^\circ \) and \( m\angle GEF = 35^\circ \). Substituting these values into the formula:
\( m\angle DEF = 36^\circ + 35^\circ \)

Step3: Calculate the sum

\( 36^\circ + 35^\circ = 71^\circ \)

Answer:

\( 71 \)