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
allsm [11]
3 years ago
13

Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
Alecsey [184]3 years ago
8 0
The sum of all interior angles in a polygon is

180(n-2), where n = sides, well, this is a QUADrilateral, so it has 4 sides, so the total is 360°.

now, let's find what angle C is first,

\bf \stackrel{A}{(2x-40)}+\stackrel{B}{(116)}+C+\stackrel{D}{(x)}=360\implies C+3x+76=360
\\\\\\
C+3x=284\implies C=284-3x

now, recall the "inscribed quadrilateral conjecture", where opposite angles are "supplementary angles", thus

\bf \stackrel{\measuredangle A}{(2x-40)}+\stackrel{\measuredangle C}{(284-3x)}=180\implies -x+244=180
\\\\\\
64=x\\\\
-------------------------------\\\\
\measuredangle A=2(64)-40
victus00 [196]3 years ago
6 0

The answer should be 88

Hope this helps and have good day


You might be interested in
What's the extraneous solution for |x-9|=4x
notsponge [240]
Ask Siri my friend jdhdbdbdndn
6 0
3 years ago
Read 2 more answers
Given f(x) = -3x - 1, solve for f(x)= -4​
Nikitich [7]

Answer:

its 11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The standard form of the equation through the points (0,5) and (-2, -1) is?
In-s [12.5K]
Answer: y = 3x + 5

Look at graph:

4 0
2 years ago
Find the lateral area ​
Dahasolnce [82]

Answer:

228

Step-by-step explanation:

3 0
2 years ago
Equity Refers to:
Gnoma [55]

Answer:

ownership in a company

Step-by-step explanation:

the answer is option B

8 0
3 years ago
Read 2 more answers
Other questions:
  • Carly left for school at 8:15.she left school at 2:45.if she arrived at 8:45,how many hours was she in the school
    15·1 answer
  • To have a batting averages over .500,how many hits in 45 times at bat would Rail and Karen need?
    5·1 answer
  • How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 60 cents a pound to produce a mi
    12·1 answer
  • In attempting to solve the system of equations and , John graphed the two equations on his graphing calculator. Because he saw o
    10·1 answer
  • How many solutions does
    14·1 answer
  • If <br>f(x)=x^2+2x-4<br>and <br>g(x)=3x+1<br>find<br>g(f(x))=___x^2+___x+___​
    10·1 answer
  • A truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
    5·1 answer
  • Which length is equivalent to 12 yards?
    14·2 answers
  • An angle with a measure between 90° is called à(n) ____ angle
    14·2 answers
  • Please help me i need this right nowpleaseedcd vid,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!