Question

if m∠dhe = 82°, then what is m∠dhf?
diagram showing lines intersecting at h with points a, b, c, d, e, f, g and angles labeled 1, 2, 3, 4, 5, 6
answer attempt 1 out of 2
m∠dhf = □ °
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Explanation:

Step1: Identify angle relationship

$\angle DHE$ and $\angle DHF$ are supplementary (form a linear pair), so $m\angle DHE + m\angle DHF = 180^\circ$.

Step2: Solve for $m\angle DHF$

Substitute $m\angle DHE = 82^\circ$ into the equation: $m\angle DHF = 180^\circ - 82^\circ = 98^\circ$.

Answer:

98