4-the exterior angle theorem

4
©j A2A0D1o1y bKEu5tsam dSPo8f2tVw7aDraeR mLYLqCB.D A vASldl2 Ir3ihg7hutusX erle9sseErgvLe2dp.9 c OMka2dceh NwJittuhr IIhnzf4iBnqintVeu CGueoo7mfettEr9yb.2 Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name___________________________________ Period____ Date________________ The Exterior Angle Theorem Find the measure of each angle indicated. 1) V R 120° 50° ? U T 2) T P 115° 50° ? U V 3) U Y 50° 70° ? T S 4) R P 25° 80° ? S T 5) D C T 140° 45° ? E 6) U S J 110° 80° ? T 7) G T E 58° 28° ? F 8) Q P G 95° 35° ? R Solve for x. 9) R H 8 + 6x 4 x + 2 30° Q P -1-

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  • j A2A0D1o1y bKEu5tsam dSPo8f2tVw7aDraeR mLYLqCB.D A vASldl2 Ir3ihg7hutusX erle9sseErgvLe2dp.9 c OMka2dceh NwJittuhr IIhnzf4iBnqintVeu CGueoo7mfettEr9yb.2 Worksheet by Kuta Software LLC

    Kuta Software - Infinite Geometry Name___________________________________

    Period____Date________________The Exterior Angle TheoremFind the measure of each angle indicated.

    1)

    V

    R

    120

    50?U T

    2)

    T

    P

    115

    50

    ?U

    V

    3) U Y

    50

    70 ?

    T

    S4)

    R

    P

    2580

    ?S

    T

    5)

    D

    C T140

    45

    ?E

    6) U

    SJ

    110

    80 ?T

    7) G

    T

    E 5828

    ?

    F

    8)

    Q

    PG

    9535

    ?

    R

    Solve for

    x

    .

    9) R H

    8 + 6

    x

    4

    x

    + 2

    30

    Q

    P

    -1-

  • H I2f0g1x1L DKVugttaw CSMoCf0t2wbavrrep gL4LNCa.w a 1A3lPl0 Jrciqg0hpt5sm YrZe1sVe6rWvwedd5.8 I 8MeaPdmeI twmiGtehJ MIhnXf7i8nTiHtQeJ HGVe2ozmGeYtarGyo.G Worksheet by Kuta Software LLC

    10)

    U

    A

    11

    x

    + 2

    5

    x

    + 10 58T S

    11)

    BW

    18

    x

    + 5

    1 + 8

    x

    46C D

    12) C A

    Q

    12

    x

    4

    10

    x

    10

    30

    B

    13)

    DA B

    15

    x

    + 5

    22

    x

    + 4120

    C

    14) B VD

    20

    x

    + 5

    9

    x

    2

    40

    C

    Find the measure of the angle indicated.

    15) Find mS.

    RJ

    3

    x

    + 4

    8

    x

    + 4140

    S

    T

    16) Find mH.

    F

    D

    14

    x

    + 1

    5

    x

    789G H

    17) Find mFAB.

    C

    A

    F

    13

    x

    3

    3

    x

    + 2

    55

    B

    18) Find mYDC.

    CD

    Y

    15

    x

    + 5

    6

    x

    + 6

    80

    B

    -2-

  • P D2c0o1E14 XKPugt9aC iSbo9fwtew6aHrTeL GL7LCC8.g e 3Afljlu brBiSgxhvtrsK Rr7etsUeZr6v7eVdv.f G SMHaXdte0 bw6iTtfhP CIdnffoiZnaiztpeB xGxeKoVmWe9tgr8yJ.s Worksheet by Kuta Software LLC

    Kuta Software - Infinite Geometry Name___________________________________

    Period____Date________________The Exterior Angle TheoremFind the measure of each angle indicated.

    1)

    V

    R

    120

    50?U T

    70

    2)

    T

    P

    115

    50

    ?U

    V

    653)

    U Y

    50

    70 ?

    T

    S

    120

    4)

    R

    P

    2580

    ?S

    T

    105

    5)

    D

    C T140

    45

    ?E

    95

    6) U

    SJ

    110

    80 ?T

    30

    7) G

    T

    E 5828

    ?

    F

    86

    8)

    Q

    PG

    9535

    ?

    R

    130

    Solve for

    x

    .

    9) R H

    8 + 6

    x

    4

    x

    + 2

    30

    Q

    P

    12

    -1-

  • Y I2M0f1r1i mKTujtDan mSKoVfutKwBabrzeC PLVLtCF.Z b WA3lSlG jrRirgPhQtjsg yr4e1sDemrKvSemdW.k G cMealdvem mwfiitBhr wI3nHfcicnMi4tJeD tGZeQoUmAeAtGrZyn.z Worksheet by Kuta Software LLC

    10)

    U

    A

    11

    x

    + 2

    5

    x

    + 10 58T S

    11

    11)

    BW

    18

    x

    + 5

    1 + 8

    x

    46C D

    4

    12) C A

    Q

    12

    x

    4

    10

    x

    10

    30

    B12

    13)

    DA B

    15

    x

    + 5

    22

    x

    + 4120

    C

    3

    14) B VD

    20

    x

    + 5

    9

    x

    2

    40

    C3

    Find the measure of the angle indicated.

    15) Find mS.

    RJ

    3

    x

    + 4

    8

    x

    + 4140

    S

    T

    40

    16) Find mH.

    F

    D

    14

    x

    + 1

    5

    x

    789G H

    3817) Find mFAB.

    C

    A

    F

    13

    x

    3

    3

    x

    + 2

    55

    B

    75

    18) Find mYDC.

    CD

    Y

    15

    x

    + 5

    6

    x

    + 6

    80

    B140

    -2-

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