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WITCHER [35]
3 years ago
7

If the degree measure of an angle is 40° less than 3 times the degree measure of its supplementary angle, what is the degree mea

sure of the angle?
Mathematics
2 answers:
pishuonlain [190]3 years ago
6 0
Let the measure of the unknown angle is x °
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°

According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:

x = 3(180 - x ) - 40 \\  \\ 
x = 540 - 3x - 40 \\  \\ 
x + 3x = 500 \\  \\ 
4x = 500 \\  \\ 
x = 125

So the degree measure of the required angle is 125°. 

Sliva [168]3 years ago
6 0
Angle: x=?
Supplementary angle: y=180°-x
<span>
The degree measure of an angle (x) is 40° less than 3 times the degree measure of its supplementary angle (y):
</span>x=3y-40°

Replacing y by 180°-x
x=3(180°-x)-40°
x=540°-3x-40°
x=500°-3x

Solving for x:
x+3x=500°-3x+3x
4x=500°
4x/4=500°/4
x=125°

Answer: The degree measure of the angle is 125°
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