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
Alex_Xolod [135]
3 years ago
15

In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​

Mathematics
1 answer:
adoni [48]3 years ago
5 0

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

You might be interested in
Simplify 6^7/6^5 in index form
Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } ⇔ a^{(m-n)} , then

\frac{6^{7} }{6^{5} }

= 6^{(7-5)}

= 6²

6 0
2 years ago
Read 2 more answers
Please give a step by step explanation with the reasons. Basically a proofs column.<br> Thank you.
lesya692 [45]
Angle 4 equals angle 5, when all angles are equal and the triangles are similar
8 0
2 years ago
Solve for x.<br><br> 4x = <br> 3<br> 8
gayaneshka [121]

Answer:

Step-by-step explanation:

4x = 38

x= 38/ 4

x = 9 1/2

4 0
2 years ago
ANSWER ASAP I WILL MAKE BRAINLYIST
aniked [119]

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

8 0
2 years ago
Read 2 more answers
X to the power of 2+ 2X plus 3X to the power of 2+ 4X subtract 2X to the power of 2+ X
eimsori [14]

Answer:

4x+12

Step-by-step explanation:

2x + 2 \times  { }^{2}  + 6x + 12 x ^{2}  - 4x +  - 2x ^{2}

8 0
3 years ago
Other questions:
  • What is the correct equation for direct variation that includes the point (6, –3)?
    7·1 answer
  • Find the GCF 18x three to the third power and 30x to the fifth power
    15·1 answer
  • **ANSWER ASAP WILL GIVE BRAINLIEST**
    8·1 answer
  • How to simplify this equation 5/4+4(3/4-1/2)
    14·1 answer
  • Extra P./Geometry <br> Help quick! Thanks In Advance :)
    11·1 answer
  • Please Help image below
    11·1 answer
  • Look at the two sums shaded in the additon table .why are the sums the same?
    14·1 answer
  • Three hundred x 3 hundred 300x300
    6·1 answer
  • 3. Find the values of x, y, and z. *<br> 125°
    6·1 answer
  • help pleaseeee, i managed to get the right answer but the way i did it doesnt feel right, can somebody please answer so i can se
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!