keljason15
keljason15 keljason15
  • 17-03-2021
  • Mathematics
contestada

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Quadrilateral ABCD is inscribed in a circle Find the measure of each of the angles of the quadrilateral Show your work class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 17-03-2021

Answer:

  • A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

  • x + 6 + x - 2 = 180°
  • 2x + 4 = 180°
  • 2x = 176°
  • x = 88°

The angles are:

  • A = 88° + 6° = 94°
  • C = 180° - 94° = 86°
  • D = 88° - 10° = 78°
  • B = 180° - 78° = 102°

Answer Link

Otras preguntas

The capacity of a beaker is 150ml,how many beakers can be filled from a 4L Container ? Vitamin c Comes from pills with strength of 500 mg ,how many pills woul
How to factor x-d+(x-d)^2
The capacity of a beaker is 150ml,how many beakers can be filled from a 4L Container ? Vitamin c Comes from pills with strength of 500 mg ,how many pills woul
What became of Wade-Davis Bill?
Is the prime meridian at 0 degrees latitude 0 degrees longitude or 180 degrees latitude
What are some common mistakes students make with decomposition reactions?
Between which pair of numbers is the exact product of 379 and 8. Give an example how to solve.
How many pairs of whole numbers have a sum of 99?
Why a yellow flame is called a safety flame if it could burn u seriously
Find the discount if a $69.99 item is on sale for $39.99.