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
Anna35 [415]
3 years ago
13

The figure below shows a straight line AB intersected by another straight line t:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

m\angle 1+m\angle 2=180^{\circ}.

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

m\angle 3+m\angle 2=180^{\circ}.

Subtract from the first equation the second equation:

m\angle 1+m\angle 2-(m\angle 3+m\angle 2)=180^{\circ}-180^{\circ},\\ m\angle 1-m\angle 3=0,\\ m\angle 1=m\angle 3.

Similarly you can prove that m\angle 2=m\angle 4.

You might be interested in
A triangle with vertices at A(-2, 2), B(-2, 5), and C(-4, 5) is TRANSLATED. The image of vertex A has coordinates at (4, -3)
scZoUnD [109]

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please

3 0
3 years ago
4 - x + <img src="https://tex.z-dn.net/?f=6%5E%7B2%7D" id="TexFormula1" title="6^{2}" alt="6^{2}" align="absmiddle" class="latex
Lemur [1.5K]

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

3 0
2 years ago
Find the area a and b circumference of the circle with radius 10 m and use 3.14 for pi
zhenek [66]

Answer:

\rule6cm99999cm

6 0
2 years ago
Read 2 more answers
Determine the sum of the areas of the three triangles shown above.
N76 [4]

I will be there at the same time I don't hear

6 0
3 years ago
If there are 2 numbers outside the parentheses in the distributive property which one do u distribute
Alex_Xolod [135]
They always say to do the problem in parentheses first
3 0
3 years ago
Other questions:
  • How do you skip count 9 Times and end in 300
    12·2 answers
  • Kim sold 85% of her ornaments during on market day. if she had a total of 120 ornaments at the begining, how many did she sell?
    12·2 answers
  • Next multiples of 1/5
    11·1 answer
  • Zoom in to see more clear :)
    11·1 answer
  • A pilot flew 72 hours in one month.At this rate,how many months will it take her to fly for 360 hours?
    8·1 answer
  • Give an example of a monomial and a binomial having degrees as 82 and 99, respectively.​
    5·1 answer
  • A baby elephant was born last month at the city zoo. When the baby was born he weighed 260 pounds. At the end of the first month
    5·2 answers
  • Identify the percent of change as an increase or decrease. 10 feet to 8 feet point
    8·1 answer
  • Solve for x using the correct order operations
    9·2 answers
  • Last week maria ran 16.4 miles more than Kathryn. Maria ran 30 miles. How many did Kathryn run ?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!