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A quadrilateral
is inscribed in circle O. The angle measures of the
quadrilateral, in degrees, are given by the expressions shown in the figure.
D
A
130 - x
7x - 20
OA. 75°
OB. 165°
C. 65°
B
What is the measure of angle C?
OD. 15°
4x + 35
95-2x
C

A quadrilateral is inscribed in circle O The angle measures of the quadrilateral in degrees are given by the expressions shown in the figure D A 130 x 7x 20 OA class=

Respuesta :

Answer:

C

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the 4 angles and equate to 360

130 - x + 4x + 35 + 95 - 2x + 7x - 20 = 360 , that is

8x + 240 = 360 ( subtract 240 from both sides )

8x = 120 ( divide both sides by 8 )

x = 15

Then

∠ C = 95 - 2x = 95 - 2(15) = 95 - 30 = 65°

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