yulii58 yulii58
  • 22-07-2020
  • Mathematics
contestada

US
Find the value of x.
80
93
112
y
Z
x = [?]

US Find the value of x 80 93 112 y Z x class=

Respuesta :

adefunkeadewole adefunkeadewole
  • 27-07-2020

Answer:

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

Answer Link
shannongail652
shannongail652 shannongail652
  • 11-12-2020

Answer:

It’s 87° for mine

Step-by-step explanation:

Answer Link

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