Geometry Midterm

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Complete the statement. m<DEF=_____

m<DGF

Find m<H p II r. The diagram is not to scale.

m<G = 34 180 - 34 146

If m<DEF = 124 then what are m<FEG and m<HEG? The diagram is not to scale.

m<HEG = m<DEF - 180 - m<DEF = m<FEG m<HEG = 124 - 180 - 124 = m<FEG - 56 = m<FEG

If m<AOC = 90°, m<BOC = 3x+15, and m<AOB = 2x+45, find the degree measure of <BOC and <AOB. The diagram is not to scale.

3x + 15 + 2x + 45 = 90 - 3x + 15 - 2x + 45 5x + 60 = 90 - 3(6) + 15 - 2(6) + 45 5x = 30 - 33 - 57 x = 6

If EF = 5x + 20, FG = 49 and EG = 104, find the value of x. The drawing is not to scale.

5x + 20 + 49 = 104 5x + 69 = 104 5x = 35 x = 7

Name a pair of corresponding angles.

<1 and <7

Identify a pair of alternate interior angles.

<8 and <4

Name a pair of alternate interior angles and a pair of same side interior angles.

<B and <E <B and <H

Name an angle supplementary to <BOA.

<BOD

Name an angle vertical to <DGF

<JGH

Find the value of x. The diagram is not to scale.

x + 71 = 180 - 64 + 45 = x x = 109 - 109 = x

<DFG and <JKL are complementary angles. m<DFG = x + 3 and m<JKL = x - 6. Find the measure of each angle.

x - 6 + x + 3 = 90 - x + 3 - x - 6 2x - 3 = 90 - 46.5 + 3 - 46.5 - 6 2x = 93 - 49.5 - 40.5 x = 46.5

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