artisticflower49 artisticflower49
  • 12-05-2020
  • Mathematics
contestada

What is the arc measure of YWZ in
degrees?
(5w+4)
(11w)

Respuesta :

Newton9022 Newton9022
  • 17-05-2020

Answer:

59 degrees

Step-by-step explanation:

In the figure below, XZ is a diameter of circle A.

Since the Angles (5w+4) and (11w) forms a straight line, then:

[tex](5w+4)^\circ+(11w)^\circ=180^\circ\\5w+11w+4=180\\16w=180-4\\16w=176\\w=\frac{176}{16}\\ w=11[/tex]

Therefore, the arc measure of YZ will be:

[tex]5w+4=5*11+4=59^\circ[/tex]

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