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
Nataly [62]
3 years ago
7

Math question, Geometry, Fill in the blanks. Please help me

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

  1. a||b--------Given
  2. ∠1≅∠2-------definition of corresponding angles
  3. m∠1=m∠2------corresponding angles are congruent
  4. ∠2 and ∠3 are supplementary-------definition of linear pair
  5. m∠2+m∠3=180°-------If two angles form a linear pair, their angle measures to 180°
  6. m∠1+m∠3=180°---------proved earlier m∠1=m∠2

Step-by-step explanation:

In geometry, transversal is a line which cuts 2 or more lines, often parallel lines.

When lines are cut by a transversal,

  • angles which occupy same relative position are termed as corresponding angles. If the lines are parallel then corresponding angles are congruent.
  • pairs of angles on either side of transversal are termed as alternate interior angles. If the lines are parallel then alternate interior angles are congruent.
  • If lines are parallel, then pairs of consecutive interior angles formed are supplementary

It is given that, a||b

By the definition of corresponding angles,

∠1≅∠2

⇒m∠1=m∠2(as corresponding angles are congruent when parallel lines are cut by a transversal)

∠2 and ∠3 are supplementary, as they form a linear pair

⇒m∠2+m∠3=180°(If two angles form a linear pair, their angle measures sum to 180°)

⇒m∠1+m∠3=180° (m∠1=m∠2 as we have proved above)

You might be interested in
SOMEONE ANWSER QUICK !
xenn [34]

Answer:

I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.

Step-by-step explanation:

6 0
2 years ago
The coordinates of the endpoints line AB are A(0,0) and B(0,6). The. Equation of the perpendicular bisector of line AB is?
CaHeK987 [17]
Y=3 because it is horizantal line that is between 0 and 6
4 0
3 years ago
Read 2 more answers
The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the da
Solnce55 [7]

Answer:

The mean will increase, after the outlier is removed.

5 0
3 years ago
A bottle of white wine at room temperature (68°f) is placed in a refrigerator at 4 p.m. its temperature after t hr is changing a
stiv31 [10]
After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
(The change -18e⁻⁰˙⁶ is negative indicating a drop in temperature.)
4 0
3 years ago
Read 2 more answers
How do you solve this equation -6x + 7y =13 and -6x +8y =20 using elimination
ohaa [14]

Answer:

x=6,y= 7

Step-by-step explanation:

-6x +7y= 13

-6x+8y=20

-y = -7

divide through by -1

y =7

sub y= 7 in equation 1

then x= 6

8 0
3 years ago
Other questions:
  • Which number goes in the box to make this a true number sentence?<br><br> 8 × (5 + 7) = 40 +
    12·1 answer
  • PLEASE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU <br> (will mark brainlest)
    8·2 answers
  • Which of the following is the best approximation of the volume of a sphere with a 9 cm radius?
    13·1 answer
  • Differentiate between:<br>1.<br>Crest and trough.<br>2. Infrasound and ultrasound.​
    11·1 answer
  • Factor completely 3X^2 -25​
    5·1 answer
  • In a hydraulic jack, the pipe below the load has an area of 4 m2, and the pipe through which the input force transmits has an ar
    8·2 answers
  • Can somebody help me with this ?? :)
    14·1 answer
  • 1
    13·1 answer
  • a box contains 2 red pens 4 yellow pens and 6 blue pens. what is the probability of selecting a yellow pen then without replacin
    12·1 answer
  • What is the function equation and unit rate for this graph?? Help me out! Please!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!