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
ArbitrLikvidat [17]
9 months ago
10

Find m∠DEA if m∠DEA= x + 30, m∠AEF= x + 132, and m∠DEF= 146 degrees

Mathematics
1 answer:
nevsk [136]9 months ago
6 0

The numerical sum of the degree measures of m ∠DEA and m ∠AEF and  m ∠DEF is 360°; The numerical measures of the angles is,

m ∠DEA = 56°

m ∠AEF = 158°

m ∠DEF = 146°

Based on the given data,

m ∠DEA= x + 30,

m ∠AEF= x + 132, and

m ∠DEF= 146 degrees

If the sum of two linear angles is 360° then, they are known as supplementary angles.

∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)

So,

We can write,

m ∠AEF + m ∠DEA + m ∠DEF = 360°

( x + 132) + (x + 30) + 146  = 360°

x + 30 + x + 132 + 146  = 360°

2x + 308 = 360°

2x = 360° - 308

x = 52/2

x =26

Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:

m ∠DEA = x + 30

m ∠DEA = 26 + 30

m ∠DEA = 56 degrees

Also,

m ∠AEF = x + 132

m ∠AEF = 26 + 132

m ∠AEF = 158

Hence,

m ∠DEA + m ∠AEF + m ∠DEF = 360°

56 + 158 + 146 = 360°

360° = 360°

Therefore,

Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and  m ∠DEF is 360°; The numerical measures of the angles is,

m ∠DEA = 56°

m ∠AEF = 158°

m ∠DEF = 146°

To learn more about information visit Supplementary angles :

brainly.com/question/17550923

#SPJ1

You might be interested in
10. Write a rule for the function represented by the table.
kondor19780726 [428]

Answer:

C) y=13+15x

Step-by-step explanation:

y=13+15x

7 0
3 years ago
What life cycle adaptation allows a seahorse to make lots of babies in a short amount of time? (2 points)
Zielflug [23.3K]

The seahorse make a lot of babies because the male carries the babies while the female makes more eggs.

<h3>What is mating?</h3>

Mating is the process in which opposite or hermaphroditic organisms pair for reproduction.

During mating between the male and female seahorse mates, the female seahorse puts her eggs in the male pouch and the male fertilises the egg in his pouch. The eggs develop into baby seahorse in the father pouch.

Find out more on mating at: brainly.com/question/922533

4 0
2 years ago
I need help with this problem??
aalyn [17]
No I think it’s a 90 degree rotation because the notations above PQR indicates only 1 rotation...
4 0
3 years ago
What is the area to this? (number 4)
IrinaK [193]
Use the formula 1/2(base1+base2)height. Substitute the values. 
7 0
3 years ago
Please help! Find m<br><br> 160° <br><br> 260° <br><br> 50° <br><br> 80°
antoniya [11.8K]
80

Expiation: it’s not more then 180, or 50
260
8 0
2 years ago
Other questions:
  • What is the line of symmetry for the parabola whose equation is y = x2 - 12x + 7?
    9·1 answer
  • Whats the answer for 604 × 91
    7·2 answers
  • Reasoning If 1/2 of 1 is 1/2 what is 1/2 of 2,3 and 4
    14·2 answers
  • Below are the pre-image and image a trapezoid. Choose the correct name of the transformation used to create the image. Group of
    12·1 answer
  • In the figure, p || q.
    15·1 answer
  • The left side of a solid block is held at a constant temperature of 200°C. The temperature profile within the block is given by
    14·1 answer
  • Please help me asap​
    10·1 answer
  • What is 75% of 102 2/3
    9·1 answer
  • Can someone tell me the answer to this plz
    11·1 answer
  • Angle larger than 90 degrees but less than 180?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!