aishalibranzakhan aishalibranzakhan
  • 02-01-2024
  • Mathematics
contestada

In the given figure, what is the measure of angle x?

In the given figure what is the measure of angle x class=

Respuesta :

karmenchong karmenchong
  • 02-01-2024

Answer:

120°

Step-by-step explanation:

ABCD is cyclic quadrilateral, which the sum of opposite angles = 180°. Therefore:

∠ADC + ∠ ABC = 180°

∠ABC = 180° - ∠ADC

∠ABC and ∠CBE are supplementary angles, which the sum of the 2 angles = 180°. Therefore:

∠ABC + ∠CBE = 180°

(180° - ∠ADC) + x = 180°

x = ∠ADC

  = 120°

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