Question

solve for m∠hij if m∠hik = 94° and m∠kij = 48°.

Explanation:

Step1: Identify angle addition postulate

The measure of ∠HIJ is the sum of ∠HIK and ∠KIJ. So, \( m\angle HIJ = m\angle HIK + m\angle KIJ \).

Step2: Substitute given values

We know \( m\angle HIK = 94^\circ \) and \( m\angle KIJ = 48^\circ \). Substitute these into the formula: \( m\angle HIJ = 94^\circ + 48^\circ \).

Step3: Calculate the sum

\( 94 + 48 = 142 \), so \( m\angle HIJ = 142^\circ \).

Answer:

\( 142 \)