VannahLovesGod VannahLovesGod
  • 08-05-2019
  • Mathematics
contestada

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.
What is the value of x?
A. 34°
B. 56.5°
C. 22°
D. 68°

In the figure mAB 45 and mCD 23 The diagram is not drawn to scale What is the value of x A 34 B 565 C 22 D 68 class=

Respuesta :

calculista
calculista calculista
  • 18-05-2019

Answer:

Option A. [tex]x=34\°[/tex]

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]x=\frac{1}{2}(arc\ CD+arc\ AB)[/tex]

substitute the values

[tex]x=\frac{1}{2}(23\°+45\°)[/tex]

[tex]x=34\°[/tex]

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