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
cupoosta [38]
3 years ago
9

In parallelogram ABCD , m∠A=(2x)° and m∠B=(5x+5)° . The figure shows parallelogram A B C D with vertices named clockwise from bo

ttom left. What are the measures of the angles of the parallelogram? Enter your answers in the boxes. m∠A= ° m∠B= ​ ° m∠C= ° m∠D= °
Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

The measure of angles of parallelogram are

∠A = 50° ,

∠B = 130° ,

∠C = 50° ,

∠D = 130°

Step-by-step explanation:

Given as for a parallelogram :

The vertices of parallelogram is A B C D in clockwise

The measure of angle A = ∠A =  ( 2 x )°

The measure of angle B =  ∠B =  ( 5 x + 5 )°

Now, for a parallelogram , the sum of measure of all four angles = 360°

<u>From The property of Parallelogram</u>

A ) The adjacent angles are supplementary

So, ∠A + ∠B =  180°

Or, ( 2 x )° + ( 5 x + 5 )° = 180°

Or, ( 7 x + 5 )° = 180°

Or , ( 7 x )° = 180° - 5°

Or , ( 7 x )° = 175°

∴   x = \frac{175}{7}

I.e x = 25°

So,  ∠A =  ( 2 x )° =  ( 2 ×25° )

I.e , ∠A = 50°

 ∠B =  ( 5 x + 5 )°

Or, ∠B =  ( 5 ×25° + 5 )°

I.e ,  ∠B = 130°

B ) The opposite angles of parallelogram is equal

   So,  ∠C =  ∠A = 50°

I,e   ∠C = 50°

And ∠D = ∠B = 130°

I.e  ∠D = 130°

Hence The measure of angles of parallelogram are ∠A = 50° , ∠B = 130° , ∠C = 50° , ∠D = 130°  Answer

You might be interested in
I need help with this question
kirill115 [55]

Answer:

PART A:

PETER

PART B:

GIWA

PART C:

WEEK 10

Step-by-step explanation:

PART A:

Peter saves $10 every week why GIWA saves $10 every two weeks making it $5 every week.

PART B:

GIWA started with more money. He started with $ 70 why Peter started with $20

PART C:

They both had $120 in the tenth week

5 0
3 years ago
18 feet is how many inches
Zigmanuir [339]
216 inches (12×18) is ur answer
8 0
3 years ago
Read 2 more answers
Old McDonald had 100 chickens and goats in the barnyard. Altogether, there are 264 feet. How many chickens and how many goats ar
Natasha2012 [34]
Well there are 200 chickens and 16 goats 
6 0
3 years ago
Read 2 more answers
Consider the parallelogram.<br><br> What is the area of the parallelogram?
liberstina [14]
22.31 because A= BH where B is base length and H is Height. Multiply 5.25 by 4.25 and you get 22.31
7 0
3 years ago
Read 2 more answers
Have a wonderful day :) and here are free pts to make your day better &lt;3<br> 11 x 11 = ?
Harman [31]

Answer:

121

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
    13·1 answer
  • Johnny thinks that the slope of the line through (5,10) and (4,4) is -1/6. Is he correct? If he is explain why. If he’s not, pro
    9·1 answer
  • Find a formula for an for the arithmetic sequence.
    11·1 answer
  • A high school basketball team won 36% of the games that it played last season. The team won exactly 9 games last season. What is
    6·1 answer
  • What is the end behavior of the polynomial function graphed below?
    8·1 answer
  • 5. <br> please choose the CORRECT answer!! thank you so much
    9·1 answer
  • I really need help!!
    5·1 answer
  • What is the equation to find the radius of a cylinder? (Just the radius)
    10·1 answer
  • Help please??? I'm confused-
    11·1 answer
  • Add the two expressions.<br> -6.56 +11 and 3.30 - 2<br> Enter your answer in the box<br> Pls help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!