geometry

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The measures of two complementary angles are (14q+8)and 8q-6). Find the measures of the angles.

• geometry -

Two angles are complimentary if they add up to 90 degrees.

So you can say that:

(14q + 8) + (8q - 6) = 90

You can then rearrange the equation to solve for q. Then sub q back into the individual equations to calculate the angles.

• geometry -

14q + 8 + 8q - 6 = 90
22q + 2 = 90
22q = 88
q = 4

14q + 8 = 64
8q - 6 = 26

64 + 26 = 90

• geometry -

Segment EF is a midsegment of triangle ABC. If BC = 14 cm, what is the measure of segment EF

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