Question

line jl and line km intersect at point h. find the three unknown angle measures in the figure. first, find m∠khl. m∠khl = \boxed{} ^\circ

Explanation:

Step1: Identify angle relationship

∠KHJ and ∠KHL are supplementary (form a linear pair), so \( m\angle KHJ + m\angle KHL = 180^\circ \). Given \( m\angle KHJ = 51^\circ \).

Step2: Calculate \( m\angle KHL \)

Substitute \( m\angle KHJ = 51^\circ \) into the equation: \( 51^\circ + m\angle KHL = 180^\circ \). Solve for \( m\angle KHL \): \( m\angle KHL = 180^\circ - 51^\circ = 129^\circ \).

Answer:

129