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Arte-miy333 [17]
3 years ago
7

The measure of an angle is seventeen times the measure of a complementary angle. What is the measure of each angle?

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "t<span>he measure of an angle is seventeen times the measure of a complementary angle" is
</span>∴ <span>x = 17y
The sum of complementary angle is 90</span>°. It can be written as<span>
</span>∴ x + y = 90°
<span>
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90</span>°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°

Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°

The measure of each angle is 5° and 85°
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