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
aleksandrvk [35]
3 years ago
5

Find the measures of all four angles if m∠2 − m∠1=30°

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

m∠1 = m∠3 = 75°

m∠2 = m∠4 = 105°

Step-by-step explanation:

From the figure attached,

m∠1 + m∠2 = 180° [Supplementary angles]------(1)

Since, m∠2 - m∠1 = 30°

m∠2 = 30° + m∠1 -----(2)

By substituting the value of ∠2 from equation (2) to equation (1),

m∠1 + (m∠1 + 30°) = 180°

2(m∠1) + 30° = 180°

2(m∠1) = 150°

m∠1 = 75°

Therefore, m∠2 = 180°- m∠1 = 180° - 75°

                  m∠2 = 105°

Since, ∠ 2 ≅ ∠4 [Vertical angles]

m∠2 = m∠4 = 105°

Similarly, ∠1 ≅ ∠3 [Vertical angles]

m∠1 = m∠3 = 75°

You might be interested in
Evi’s watch is water resistant up to -15 feet. Mateo’s watch is water resistant up to 8 times the depth of Evi’s watch. Mateo’s
frez [133]

Answer:-120

Step-by-step explanation:

-15 x 8

6 0
3 years ago
Read 2 more answers
The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular bas
NeTakaya
900=(1/2)*b*10*15
1800=150b
b=12
 I hope you can figure out FC with this info.

7 0
3 years ago
Read 2 more answers
Item 17 You have 6 bracelets and 15 necklaces. Find the number of ways you can wear one bracelet and one necklace
dimulka [17.4K]
There are 90 ways where you can wear one bracelet and one necklace.
4 0
2 years ago
Read 2 more answers
Find the sum of the measures of the interior angles of a convex 45-gon.​
stiks02 [169]

Answer: 7740

Step-by-step explanation: take 180(n-45) and n represents the sides

7 0
2 years ago
I'm having trouble with this problem ​
shepuryov [24]

Answer:

the first and third should be the correct answer I hope this helps

3 0
2 years ago
Other questions:
  • A company shipped 48 boxes of canned dog food. Each box contained 24 cans.How many cans of dog food did the company ship in all?
    11·2 answers
  • What is 62.83 rounded to the nearest whole unit
    5·2 answers
  • Solve the following system of equations algebraically and check: 3x-2y=22<br> 2x+5y=2
    8·1 answer
  • Math math math math help
    11·2 answers
  • The SI unit for measuring mass is the<br><br> Meter<br> Gram<br> Liter
    5·1 answer
  • Help ! i’ll give brainliest
    14·1 answer
  • Simplify (48)2<br> HURRY
    6·2 answers
  • Suppose you have a mean = 12 and a standard deviation = 3. What is the probability that a data member, x, is above 18?
    7·1 answer
  • In a circle of radius 1, what is the length of an arc cut off by a central angle of 2 radians?
    7·1 answer
  • Explain why triangleABC is similar to triangle triangle ADE
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!