Answer
$(5x+5)^\circ=55^\circ$
$(3x+5)^\circ=35^\circ$
Work Step by Step
The sum of the two angles is a right angle ($90^\circ$):
$(5x+5)^\circ+(3x+5)^\circ=(8x+10x)^\circ=90^\circ$
$8x+10=90$
$x=10$
$(5x+5)^\circ=55^\circ$
$(3x+5)^\circ=35^\circ$