Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o ne angle is four times the other angle.
1 answer:
Answer:
18° and 72°
Step-by-step explanation:
The angle measures are unknown, so they will be represented with the variable, x. Since, one angle is 4 times the other, this will be represented with 4x.
To find complementary angles, they are added together and equal 90. So let's create an equation.
x + 4x = 90
Now solve for x.
5x = 90
5x/5 = 90/5
x = 18
One angle is 18°.
Now find the second angle.
4x
plugin 18 for x and multiply
4(18) = 72
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Answer:
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