1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksandrR [38]
3 years ago
13

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

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

\therefore \: \angle A + \angle C = 180° \\  \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\  \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x =  \frac{176}{4}  \\ \therefore \: x =  44 \\  \\  m\angle A  = (2x + 3) \degree \\  = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle A  =91 \degree}} \\  \\ m\angle  C = (2x + 1) \degree \\  = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle   C=89\degree}}  \\  \\ m\angle  D= (x - 10) \degree \\  = (44 - 10) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle  D =34\degree}}  \\  \\ similarly \\  \\  \huge \red{ \boxed{ \therefore \: m\angle  B  = 146\degree}}   \\  \\

You might be interested in
If you borrow money from a bank, you pay the bank __________________ . Why?
Amiraneli [1.4K]

Answer:

interest

Step-by-step explanation:

you need to pay the bank interest because the bank needs to make money too, just like everyone

4 0
2 years ago
The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area o
rosijanka [135]

Answer:

768 m²

Step-by-step explanation:

8 x 400 = 3200 cm = 32 m

6 x 400 = 2400 cm = 24m

32 x 24 = 768 m²

8 0
2 years ago
How to solve this equation 3x-2y=10,2x 5y=13?
frez [133]
There's an app called photomath that would be useful for these kinds of problems!
4 0
2 years ago
Name the types of angles shown.
OlgaM077 [116]

Answer:

C) supplementary angles

D) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

7 0
3 years ago
Read 2 more answers
Rewrite in simplest terms: 5w -9( 6W + 9) help please<br>​
nikitadnepr [17]
I believe the answer is 11W-0 or just plain 11W
4 0
2 years ago
Other questions:
  • Identify the pattern 192,96
    8·1 answer
  • The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and a
    5·1 answer
  • Need help on #7 help if u know how to solve thanks!
    10·2 answers
  • HELPPPP NOW ASAP A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart la
    13·1 answer
  • In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amo
    9·2 answers
  • Can someone help me I’m slow and not understanding
    15·1 answer
  • The volume of a cylinder is 4x3 cubic units and its height is x units.
    12·1 answer
  • Find the value of p and the value of q
    15·1 answer
  • I need all of the answers for this. Please try to be correct.
    6·2 answers
  • Solve this question Find AC​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!