Question

solve for m∠hfg if m∠efg = 138° and m∠efh = 37°. answer attempt 1 out of 2 m∠hfg = \\(\boxed{}\\)° submit answer

Explanation:

Step1: Identify angle relationship

We know that \( m\angle EFG = m\angle EFH + m\angle HFG \) (angle addition postulate).

Step2: Solve for \( m\angle HFG \)

Rearrange the formula: \( m\angle HFG = m\angle EFG - m\angle EFH \).
Substitute the given values: \( m\angle EFG = 138^\circ \), \( m\angle EFH = 37^\circ \).
So, \( m\angle HFG = 138^\circ - 37^\circ = 101^\circ \).

Answer:

\( 101 \)