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Angles ABC and CBD are complementary. Angle CBD is 9 degrees more than half of angle ABC. What are the measurements of the two angles?

Answer 1

Violet Aldrich

#54^@"and "36^@#

#"let "angleABC=x#

#"then "angleCBD=1/2x+9#

#"the angles are complementary hence sum to "90^@#

#rArrx+1/2x+9=90#

#rArr3/2x=90-9=81#

#rArr3/2x=81#

#"multiply both sides by "2/3#

#cancel(2)/cancel(3)xxcancel(3)/cancel(2)x=2/cancel(3)^1xxcancel(81)^(27)=2xx27=54#

#rArrx=angleABC=54^@#

#rArrangleCBD=1/2x+9=1/2xx54+9=36^@#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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