Answer
$(10x+7)^\circ=107^\circ$
$(7x+3)^\circ=73^\circ$
Work Step by Step
If two angles are supplementary, the sum of the two angles is a straight angle ($180^\circ$):
$(10x+7)^\circ+(7x+3)^\circ=(17x+10)^\circ=180^\circ$
$x=10$
$(10x+7)^\circ=107^\circ$
$(7x+3)^\circ=73^\circ$