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Measuring Angles and Segments
Using Segment Addition and Angle Addition Postulates
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A | B |
S is between D and T on a line segment. DS = 2x - 8, ST = 3x - 12, and DT = 60. Find x, DS, and ST. | x=16 , DS=24 , ST=36 |
F i between E and G on a line segment with EG = 100. If EF = 4x - 20 and FG = 2x + 30, find the value of x, EF and FG. | x=15 , EF=40 , FG=60 |
T is on the interior of <RSW. What is m<TSW if m<RST=50 and m<RSW=125? | 75 |
<DEF is a straight angle with G on the interior of <DEF. What is m<GEF if m<DEG=145? | 35 |
S is between R and T on a line segment. If RS=15 and ST=9, then RT=? | 24 |
S is between R and T on a line segment. If ST=15 and RT=40, then RS=? | 25 |
S is between R and T on a line segment. If RS=3x+1, ST=2x-2, and RT=64, find x, RS, and ST. | x=13 , RS=40 , ST=24 |
S is between R and T on a line segment. If RS=8y+4 , ST=4y+8 , and RT=15y-9, find y, RS, and ST. | y=7 , RS=60 , ST=36 |
Draw and label quadrilateral PLAN. Draw line segments PA and LN (label their intersect X)inside quadrilateral PLAN. If m<NPX=90 and m<XPL=35, what is m<NPL? | 125 |
Draw and label quadrilateral PLAN. Draw line segments PA and LN on the inside of quadrilateral PLAN (label their intersection X). If m<NXP, what is m<PXL? | 125 |
Draw segments AC and EB intersecting at point D. AD is congruent to DC and ED is congruent to DB. If AD=12 and AC=4y-36, find the value of y. | 12 |
Draw segments AC and EB intersecting at point D. AD is congruent to DC and ED is congruent to DB. If ED=x+4 and DB=3x-8, find EB. | 20 |
AB is congruent to DC. If AB=4x+5 and DC=3x+8, find AB. | 17 |
Draw <DAC so that ray AE bisects the angle. Find the value of y if m<DAE=4y+4 and m<CAE=6y-12. | 8 |
Draw <DAC so that ray AE bisects the angle. If m<CAE 6c-12 and m<DAC=72, find the value of c. | 8 |
Draw segment VW intersecting segment AY at point E. <VEY forms a 90 degree angle with AE congruent to EY. VW is the ____ of AY. | segment bisector |
Draw segment VW intersecting segment AY at E. <VEY forms a 90 degree angle with AE congruent to EY. If EY=3.5, then AY= ? | 7 |
<A and <B are supplementary. If m<A=3x +31and m<B=2x-6, what is the value of x? | 31 |
<C and <D are vertical angles. If m<C=3y+20 and m<D=5y-16, what is the value of y? | 18 |
<E and <F are complementary. If m<E=4x+5 and m<F=3x+8, what is the value of x? | 11 |
<A and <B are supplementary angles. m<A=3x+12 and m<B=2x-22. Find the measure of both angles. | m<A=126 , m<B=54 |
Find PQ if Q lies between P and R, PQ=6x5, QR=2x+7, and PQ=QR. | 13 |
Find x and BC if B is between A and C, AC=4x-12, AB=x, and BC=2x+3. | x=15 , BC=33 |
Find y and QP if P is between Q and R, QP=2y, QR=3y+1, and PR=21. | y=20 , QP=40 |
Find x and ST if T is between S and U, ST=7x, SU=45, and TU=5x-3. | x=4 , ST=28 |
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