# geometry

Suppose the bisector of an angle divides the angle into 2 angles, each of which has a measure of 15 degrees less than the complement of the angle. What is the measure of the original angle?

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1. let the angle be 2x
then the bisected angle is x
the complement of the original angle is 90-2x

"..each of which has a measure of 15 degrees less than the complement of the angle"
---> x = 90-2x - 15
3x = 75
x = 25

so the original angle, defined as 2x, is 50°

check:
complement of 50° is 40°
the bisected angle is 25°
is 25 less than 40 by 15 ? , YES

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2. given an equilateral teiangle abc of side 3cm. f is the symmetric of c with respect to b and g is the symmetric of b with respect to c
drow the figure

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