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laiz [17]
3 years ago
10

Find the angle measures of each angle in quadrilateral TUVW.

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0
Opposite angles are supplementary, so you have
.. V +T = 180°
.. (15y -4) +(12y-5) = 180
.. 27y -9 = 180
.. y = 189/27 = 7

a) T = (12y -5)° = (12*7 -5)° = 79°
c) V = (15y -4)° = (17*7 -4)° = 101°

.. U +W = 180°
.. (14 +4x) +(6x -14) = 180
.. 10x = 180
.. x = 180/10 = 18

b) U = (14 +4x)° = (14 +4*18)° = 86°
d) W = (6x -14)° = (6*18 -14)° = 94°


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