morbidodyssey
morbidodyssey morbidodyssey
  • 05-03-2019
  • Mathematics
contestada

​ Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle C?

Quadrilateral ABCD is inscribed in this circle What is the measure of angle C class=

Respuesta :

imlittlestar
imlittlestar imlittlestar
  • 05-03-2019

Answer:

The measure of angle C = 92°

Step-by-step explanation:

The sum of opposite angles of cyclic quadrilateral is 180°

From the figure we can see that,quadrilateral ABCD ​ is inscribed in a circle.

To find the value of x

m<B + m<D = 180°

(x + 10 ) + ( x + 24 ) = 180

x + 10 + x + 24 = 180

2x + 34 = 180

2x = 180 - 34 = 146

x = 146/2 = 73

To find the measure of <A

m<A = x + 15

x = 73

m<A = 73 + 15 = 88°

To find the measure of <C

m<C + m<A = 180°

m<C + 88 = 180

m<C = 180 - 88 = 92°

Therefore the measure of angle C = 92°

Answer Link

Otras preguntas

There ate 83 apples.each bag can hold 4 apples. how many full bags are there? how many are leftover?
Can someone please help me on this one?
How does carbon dioxide in the atmostphere enter into living organism?
A circle has circumference 28.26 cm. What is the area of ​​the circle? Use 3.14 for pi
Which explains Dante’s inclusion of the mythological beast Minos in the text of the Inferno? A. He wants to demonstrate that Greek myths lack authority. B. He w
12x=24 I'd appreciate help
What do these fatwas indicate with regard to the balance between practical legal reasoning and religious dictates?
14x=28 I need help please
PLEASE HELP!! I WILL BRAINLIEST A particular data set can be approximately described as a normal distribution. The mean of the data set is 40 and one standard
What are sources of water pollution in southern europe?