The measure of an angle is forty-four times the measure of its complementary angle. What is the measure of each angle?
1 answer:
Answer:
<h2>2° and 88°</h2>
Step-by-step explanation:
Suppose two angles ∠A and ∠B of measures x and y
A and B are complementary means x + y = 90
the measure of B is 44 times the measure of A means y = 44x
then we have to solve the system
x + y = 90
y = 44x
then
x + 44x = 90
then
45x = 90
then x = 90/45
= 2
therefore
y = 44×(2)
= 88
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