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Vlad [161]
3 years ago
13

The sum of the measures of two complementary angles is 90°. If one angle measures 24° more than twice the measure of the​ other,

find the measure of the smaller angle.
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0
X + y = 90

Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y

Now plug that into the x of the first equation.
(24 + 2y) + y = 90

Combine like terms.
24 + 3y = 90

Subtract 24 from both sides.
3y = 66

Divide both sides by 3.
y = 22

The measure of the smaller angle is 22°
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