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°

Answer Link

Otras preguntas

Which would you prefer a penny per day and it doubles everyday for 5 years or $10 per day for 5 years? Explain?
Write the equation for a line that intersects points (1,3) and (2,5)
The yellow lines on this globe represent:
A function g is defined by g:x→3−2sinx,for 0◦ ≤x≤A◦,where A is a constant. (i) State the largest value of A for which g has an inverse. (ii)When A has this val
is 4m greater than 400 dm
When were the bill of rights added to the constitution?
Which of the following documents established freedom of speech, trial by jury, and the right to bear arms for American citizens?
how were the lives of burghers and workers similar
Which problem will have the greater quotient, 376.0 divided by 92 OR 376 divided by 93.01? Explain how you know logically
How to solve (2x to the 2nd 4x 6)?