Two angles are complementary.the measure of one angle is 15 more than twice the other.what is the measure of the smaller angle ? 1) 25

Question

Two angles are complementary.the measure of one angle is 15 more than twice the other.what is the measure of the smaller angle ?
1) 25
2)35
3)55
4)65

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Adeline 4 weeks 2021-11-07T04:47:14+00:00 1 Answer 0 views 0

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    2021-11-07T04:49:03+00:00

    Ok, complementary angles are angles that add up to 90 degrees, like the other two angles in a right triangle. That’s all they are, nothing magical about them.

    In this case, let the small angle be x degrees.

    The other angle is 15 more than 2x degrees, that is, it is 2x +15 degrees.

    Together they add up to 90 degrees

    so x + (2x + 15) = 90

    so 3x +15 = 90

    so 3x = 90-15 = 75

    so x = 25. Remember that x is the smallest angle

    so the largest angle is 90-x = 65.

    hope this makes sense

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