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
sergeinik [125]
3 years ago
12

Im trying to find the measure of the numbered angle:)??

Mathematics
2 answers:
bazaltina [42]3 years ago
4 0
3 and 2 would be 122 since 3 and the 58° are a linear pair making them add up to 180. And 3 and 2 are vertical so they would be congruent.
4 would then have to be 38 since the three angles would have to measure up to 180.
And the 1 would have to be 36 with the same reasoning as before.
Disclamier (I might have done some math wrong since I did it in my head.)
irakobra [83]3 years ago
4 0

As Angle(2) and Angle(3) are Vertically Opposite Angles, they should be Equal.

Let us Take Angle(2) = Angle(3) = X

The Opposite Angle to 58° will also be 58° as they are Vertically Opposite Angles.

We can Notice that Angle(2), Angle(3) and Both the 58° Angles together make a Complete Angle (i.e. 360°)

⇒ Angle(2) + Angle(3) + 58° + 58° = 360°

⇒ Angle(2) + Angle(3) + 116° = 360°

⇒ Angle(2) + Angle(3) = 360° - 116°

⇒ Angle(2) + Angle(3) = 244°

⇒ X + X = 244°

⇒ 2X = 244°

⇒ X = 122°

We took Angle(2) = Angle(3) = X

⇒ Angle(2) = Angle(3) = 122°

Now let us go for the Upper Triangle :

As Sum of Angles in a Triangle = 180°

Angle (1) + Angle(2) + 22° = 180°

Angle (1) + 122° + 22° = 180°

Angle (1) + 144° = 180°

Angle (1) = 180° - 144°

Angle (1) = 36°

Now let us go for the Lower Triangle :

As Sum of Angles in a Triangle = 180°

Angle (3) + Angle(4) + 20° = 180°

Angle (4) + 122° + 20° = 180°

Angle (4) + 142° = 180°

Angle (4) = 180° - 142°

Angle (4) = 38°

You might be interested in
IS ANYBODY GOOD IN MATH
topjm [15]
No i am horrible in it and everytime i come to ask questions nobody helps :(
6 0
2 years ago
Read 2 more answers
There are 60 slices of cheesecake in 5 cheesecakes.If There are the same number of slices in each cheesecake, how many slices ar
aniked [119]
60 slices in 5 cheesecakes. So 1 cheesecake has 12 slices. So 8 cheesecakes will have 96 slices
6 0
3 years ago
Solve the system of equations by substitution <br><br> y = 2x + 1 and 3x + y = 16
Luden [163]

Answer:  y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

6 0
3 years ago
Help plz plzzzzzzz i need heelllp
emmainna [20.7K]

Answer:

I can't see the picture right, it's backward sorry

Step-by-step explanation:

edit the picture and take a better one

3 0
3 years ago
For the function y=3x^2-12x+4 , what’s the mirroring point for the y-intercept? (x,y) form please
Slav-nsk [51]

Answer:

the you run y=3

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Solve the equation x+0.7=1-0.2x In two different ways
    7·1 answer
  • Given that,
    12·2 answers
  • Write the Taylor Series for f(x) = sin(x)center
    8·1 answer
  • Jeff wanted to see how many smaller boxes will fit into the larger box. Each small box has a side length of 1.5 inches. The larg
    14·1 answer
  • The industrial and agricultural revolutions resulted in a decline in __________.
    5·1 answer
  • PLEASE AWNSER I WILL MARK BRAINLIEST!!!
    7·1 answer
  • Round to 2 decimal places<br> 0.607
    5·1 answer
  • Can someone please help
    8·1 answer
  • A 552 ​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
    12·1 answer
  • HELPPP NEEDED IMMEDIATELY
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!