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

Quadrilateral ABCD ​ is inscribed in a circle.

What is the measure of angle A?

Quadrilateral ABCD is inscribed in a circle What is the measure of angle A class=

Respuesta :

imlittlestar
imlittlestar imlittlestar
  • 05-03-2019

Answer:

The measure of angle A = 133°

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.

<A + <C = 180°

To find the value of x

we have,

(4x + 5) + (x + 15) = 180

4x + 5 + x + 15 = 180

5x + 20 = 180

5x = 180 - 20 = 160

x = 160/5 = 32

To find the measure of angle

m<A = 4x + 5

x = 32

m<A = 4*32 + 5 = 128 + 5 = 133°

Therefore the measure of angle A = 133°

Answer Link

Otras preguntas

What are similarities between:The Han and Shang Dynasties?The Han and Xia Dynasties?Please help as it's due tomorrow and I don't have long to do it!
what are the 2 properties of enzymes that allow them to act as biological catalysts?
When an object is charged, what type of subatomic particle is transferred between objects?
if a baking tray is 700mm by 600mm, how many of 25cm in diameter can fit into the baking tray?
how do you convert mol dm-3 to gdm-3 and vice versa
how can astronomers use rocks from the moon to estimate the age of the solar system ?
determine the most precise name of the quadrilateral ABCD from the information given. for #13 & #14
What are similarities between:The Han and Shang Dynasties?The Han and Xia Dynasties?Please help as it's due tomorrow and I don't have long to do it!
Simplify (2x + 3)(x – 4) = ?
list the 6 characteristics of american economy and explain how they help the economy grow