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Find the measures of two complementary angles with measures (20w+15)° and (10w)°
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Find the measures of two complementary angles with measures (20w+15)° and (10w)°

User Nilson
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let's recall, complementary angles add up to 90°, therefore



\bf (20w+15)+(10w)=90\implies 30w+15=90\implies 30w=75 \\\\\\ w=\cfrac{75}{30}\implies w=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ 20w+15\implies 20\left( \cfrac{5}{2} \right)+15\implies 50+15\implies \blacktriangleright 65 \blacktriangleleft \\\\\\ 10w\implies 10\left( \cfrac{5}{2} \right)\implies \blacktriangleright 25 \blacktriangleleft

User Zelenyjan
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