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
ch4aika [34]
3 years ago
10

In the figure M angle 11=62 and M angle 14=38 find the measure of each angle. tell which postulate or theorems you used

Mathematics
2 answers:
artcher [175]3 years ago
7 0

We are given

angle(11)=62

angle(14)=38

Calculation of angle(1):

we know that

angle(1) and angle(9) are corresponding angles

so,

angle(1)=angle(9)

and angle(9) and angle(14) are vertically opposite angles

so, angle(9)=angle(14)=38

so, angle(1)=angle(9)=angle(14)=38

angle(1)=38

angle(9)=38

Calculation of angle(3):

we know that angle(3) and angle(8) are corresponding angles

so, angle(3)=angle(8)

and angle(8) and angle(11) are vertically opposite angles

so,

angle(3)=angle(8)=angle(11)=62

so,

angle(3)=62

angle(8)=62

Calculation of angle(2):

we know that

angle(1) , angle(2) and angle(3) form supplementary angles

so,

angle(1) + angle(2)+angle(3)=180

we can plug values

38 + angle(2)+62=180

angle(2)=80

Calculation of angle(4):

Since, angle(4) and angle(3) are vertically opposite angles

so,

angle(4)=angle(3)=62

so,

angle(4)=62

Calculation of angle(5):

Since, angle(5) and angle(2) are vertically opposite angles

so,

angle(5)=angle(2)=80

so,

angle(5)=80

Calculation of angle(6):

Since, angle(6) and angle(1) are vertically opposite angles

so,

angle(6)=angle(1)=38

so,

angle(6)=38

Calculation of angle(7):

Since, angle(7) and angle(8) are supplementary angles

so, angle(7)+angle(8)=180

angle(8)=62

angle(7)+62=180

angle(7)=118

Calculation of angle(10):

Since, angle(9) and angle(10) are supplementary angles

so, angle(9)+angle(10)=180

angle(9)=38

angle(10)+38=180

angle(10)=142

Calculation of angle(12):

Since, angle(7) and angle(12) are vertically opposite angles

so,

angle(7)=angle(12)=118

angle(12)=118

Calculation of angle(13):

Since, angle(10) and angle(13) are vertically opposite angles

so,

angle(10)=angle(13)=142

angle(13)=142

So, our angles are

angle(1)=38

angle(2)=80

angle(3)=62

angle(4)=62

angle(5)=80

angle(6)=38

angle(7)=118

angle(8)=62

angle(9)=38

angle(10)=142

angle(11)=62

angle(12)=118

angle(13)=142

angle(14)=38..............Answer



Tcecarenko [31]3 years ago
4 0

from the given figure two lines are parallel to each other. If ∠11=62 then ∠12 =(180- 62)=118,∠8=62 (vertically opposite angles are parallel) and ∠4=62 corresponding angles are equal )If ∠8=62 then ∠3=62 (corresponding angles in a parallel lines are equal)\\  If ∠14=38 then∠13=(180-38)=142 , ∠6=38 (corresponding angles) and ∠9=38 (vertically opposite angles).\\ If ∠6=38 then∠1=38 (vertically opposite angles)\\ If ∠1=38 and ∠3=62 then ∠2=180-(38+62)=80 and if ∠2=80 then ∠5=80 (vertically opposite angles)  

You might be interested in
Write an
son4ous [18]

Answer:

sheeesh 69

Step-by-step explanation:

4 0
3 years ago
The quotient of 24 and a number is 6.
Flauer [41]

The answer will be: 4

24 / 6 = 4

6 0
4 years ago
Read 2 more answers
Jennifer, Kate, and Lucy line up in random order for basketball practice. What is the probability that the girls will line up fr
GarryVolchara [31]

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

7 0
3 years ago
Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y
OleMash [197]
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
3 0
3 years ago
Read 2 more answers
Evaluate 2y²(x+y) when x = 1 and y = 5<br> Show working out
Harlamova29_29 [7]

Answer:

300

Step-by-step explanation:

2(5)²(1+5)

2(25)(6)

50(6)

300

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of EDH?<br> 10°<br> 40°<br> 50°<br> 90°
    5·2 answers
  • How much less than 3x^2−7x+9 is 2x^2+4x−8 ?<br> Thanks!!
    15·1 answer
  • Why is the remainder always less than the divisor
    5·1 answer
  • Which is the graph of the function f(x) =1/2x^2-6
    15·1 answer
  • Help PLZZZ
    14·1 answer
  • PLEASE HELP 50 COINS!!!!
    8·1 answer
  • You realize that more than 8000 gallons per year was a lot of water to waste with a leaky faucet. You fixed your faucet so that
    8·1 answer
  • Juan and Dylan are selling bottled water. Juan sold 4 bottles for every 6 that Dylan sold. Dylan sold 16 more bottles than Juan.
    10·1 answer
  • Find the slope and the y intercept
    8·2 answers
  • 2000 yds = __________ miles __________ yds
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!