thesis thesis
  • 14-05-2018
  • Mathematics
contestada

find the value of each variable. for each circle, the dot represents the center

find the value of each variable for each circle the dot represents the center class=

Respuesta :

calculista
calculista calculista
  • 23-05-2018
we know that
The inscribed angle measures half of the arc it comprises.
Opposite angles in a cyclic quadrilateral add up to 180°

Part 1)
a=360-(128+134)-------> a=98°
b=a/2--------> b=98/2----> 49°

the answer Part 1) is
a=98°
b=49°

Part 2)
92+d=180--------> d=180-92-------> d=88°
102+c=180-----> c=180-102----> c=78°
140+a=102*2-----> a=204-140-----> a=64°
b+a=2*d------> b+64=2*88-----> b=2*88-64----> b=112°

the answer Part 2) is
a=64°
b=112°
c=78°
d=88°

Answer Link

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