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
Ivan
3 years ago
8

m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur

es of the four angles?
Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

You might be interested in
PLEASE ANSWER + BRAINLIEST!!!!
pav-90 [236]
The answer is D because it does not end up passing through another point. You can discover this by using the vertical line test.
3 0
3 years ago
Help please No links And with explanation please!
victus00 [196]
First: -8 second:17
4 0
3 years ago
People people plsss i need your help I'm about to take a geometry final test and i need your help passing it... sooo
attashe74 [19]

Kk I’ll help ya bro!

6 0
3 years ago
If I had 169 apples and I give away 139 apples to my friends how many would I had?
iris [78.8K]
169-139=30
...............
3 0
2 years ago
Read 2 more answers
I'm a bit lost on this question maybe someone can help me out​
Alborosie

Answer:

A

Step-by-step explanation:

11/4 hours on the first day

21/4 hours on the second

21-11=10

10/4 hours or 2 2/4

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of the following points. (-20,-4) (-12,-10)
    9·1 answer
  • Every 2 minutes, the height of a glider decreases by 8 feet. The initial height was 47 feet.
    8·2 answers
  • What is the addititve inverse of 63
    13·2 answers
  • Find the equation of the line in slope-intercept form. Slope is 3/5 and (0, −2)
    5·2 answers
  • 1. Kevin has 20 pieces of candy in a bag: 12 mint sticks, 3 jelly treats, and 5 fruit tart chews. If he eats one piece every 6 m
    7·1 answer
  • Please please please
    10·2 answers
  • The system of equation 3x-6y=30 and 2x-4y=3 is
    12·1 answer
  • Jeremy bought a 60$ pair of sneakers on sale or 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy
    7·1 answer
  • Find the vertices of the hyperbola. Enter the smallest coordinate first.
    8·1 answer
  • Find the missing side. This is really really important, can someone please help me out?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!