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
zepelin [54]
3 years ago
15

In the parallelogram, <1=3x+15 and <3=7x-5. Find the measure of <2.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

The measure of ∠2 is 150° ⇒ last answer

Step-by-step explanation:

In a parallelogram:

  • Each two opposite angles are equal in measures
  • Each to adjacent angles are supplementary (their sum is 180°)

In the parallelogram

∵ ∠1 and ∠3 are opposite angles

∴ m∠1 = m∠3

∵ m∠1 = 3 x + 15

∵ m∠3 = 7 x - 5

- Equate them

∴ 7 x - 5 = 3 x + 15

- Subtract 3 x from both sides

∴ 4 x - 5 = 15

- Add 5 to both sides

∴ 4 x = 20

- Divide both sides by 4

∴ x = 5

Substitute the value of x in ∠1 or ∠3 to find their measure

∵ m∠1 = 3(5) + 15

∴ m∠1 = 15 + 15

∴ m∠1 = 30°

∵∠1 and ∠2 are adjacent angles

∴ m∠1 + m∠2 = 180°

- Substitute m∠1 in the equation

∴ 30 + m∠2 = 180

- Subtract 30 from both sides

∴ m∠2 = 150°

You might be interested in
Classify these similar triangles as an example of AA similarity, SSS similarity, or SAS similarity.
umka21 [38]

Answer:

I AM EXPECTING THAT SSS IS CORRECT ANSWER

7 0
3 years ago
If you double a number and then add 1616​, you get two fifths 2 5 of the original number. what is the original​ number?
Scilla [17]
Let the original number be x.

Acc. to the question,
     2x+1616=(2/5)x
or, 10x+8080=2x
or, 10x-2x= -8080
or, 8x= -8080
or, x= -8080/8
or, x = -1010

Therefore, the original number is -1010
4 0
3 years ago
For every 7 glasses wearers in a Classroom,there are about 13 non glasses wearers.If there are 32 students in a entire class how
Alla [95]

Answer:

21 With glasses

Step-by-step explanation:

32/20=1.6

1.6•7=11.2 Without Glasses

1.6•13=20.8 With Glasses

20.8 rounded to nearest whole number=21

6 0
3 years ago
1. Which of the following linear equations has
Anon25 [30]
General equation: y = mx + c
where m is the slope.
So if there’s a negative sign on mx, it is a negative slope and vice versa.
3 0
2 years ago
Please help having trouble!
Monica [59]
Long boxes =20 . Divide
8 0
2 years ago
Other questions:
  • A statistician wishing to test a hypothesis that students score at least 75% on the final exam in an introductory statistics cou
    7·1 answer
  • 4y=x 3x-y=70 <br>how to solve this problem using substitution
    13·1 answer
  • The second one please help I do not understand and if you can please explain
    11·1 answer
  • Micah can fill a box with books in 15 minutes. While Micah fills the box, Sydney takes the books out puts them on a shelf. With
    13·1 answer
  • What is the slope of the line passing through the points (1, -5) and (4, 1)?
    10·2 answers
  • If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cd)(x)?
    11·1 answer
  • Which algebraic expression represents “the sum of a number and 9”?
    7·1 answer
  • Please help me on question 4!! asap
    10·1 answer
  • Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly
    13·2 answers
  • The area of a triangle is 162 square meters. the height is 18 meters. what is the base
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!