the sum of the complementary angle and the supplementary angle of a given angle is two times the difference between the supplementary angle and the complementary angle. What is the measure of that angle
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Angle one = x
Other angle = y
We know that the two angles are equal each other. Set up equations that represents this.
x + y = 90 defines the total angles.
2x = 3y --> 2x - 3y = 0 defines the equality of the angles.
We have a system of equations.
x + y = 90 eq1
2x - 3y = 0 eq2
Substitute eq1 into eq2. We can get eq2 in terms of x.
2x - 3(90 - x) = 0
Solve for x.
2x - 270 + 3x = 0
5x - 270 = 0
5x = 270
x = 54
Substitute this value of x into eq1 to solve for y.
y = 90 - x
y = 90 - 54
y = 36
The angles are 36 and 54.
anita87:
no this is not the answer
then what will be answer dude
the answer should be 45°
ok dude
I want the whole summer solved
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Answer:30and 240
Step-by-step explanation:
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