Question

1. ( mangle kij = 126^circ ) and ( mangle hij = 154^circ ). find ( mangle hik ).

Explanation:

Step1: Identify angle relationship

We know that \( m\angle HIJ = m\angle HIK + m\angle KIJ \). So, to find \( m\angle HIK \), we can use the formula \( m\angle HIK = m\angle HIJ - m\angle KIJ \).

Step2: Substitute the given values

Given \( m\angle KIJ = 126^\circ \) and \( m\angle HIJ = 154^\circ \). Substitute these values into the formula: \( m\angle HIK = 154^\circ - 126^\circ \).

Step3: Calculate the result

\( 154 - 126 = 28 \), so \( m\angle HIK = 28^\circ \).

Answer:

\( 28^\circ \)