TriangleA′B′C′ is the image of triangleABC after a dilation.
2 answers:
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Let us translate the statements in the problem to mathematics equations
Let the angle is x degree
So its supplement is
And its complement is
Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement
Let us simplify the right side
Now let us solve the equation to find x
At first, add 6x to both sides to put x in the left side
Now subtract 180 from both sides to put the number in the right side
Divide both sides by 5 to get x
So the measure of the angle is 72 degrees
You can check the answer
180 - 72 = 108
90 - 72 = 18
18 * 6 = 108
So the supplement of 72 is six times its complement