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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