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
andrew11 [14]
3 years ago
5

Given: PSTR is a parallelogram m∠T:m∠R=1:3, RD ⊥ PS , RM ⊥ ST Find: m∠DRM

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

m∠DRM = 45°

Step-by-step explanation:

∵ PSTR is a parallelogram

∴ TS // RP ⇒ opposite sides

∴ m∠T + m∠R = 180° ⇒ (1) (interior supplementary angles)

∵ m∠T : m∠R = 1 : 3

∴ m∠R = 3 m∠T ⇒ (2)

- Substitute (2) in (1)

∴ m∠T + 3 m∠T = 180

∴ 4 m∠T = 180

∴ m∠T = 180 ÷ 4 = 45°

∴ m∠R = 3 × 45 = 135°

∵ m∠R = m∠S ⇒ opposite angles in a parallelogram

∴ m∠S = 135°

∵ RD ⊥ PS

∴ m∠RDS = 90°

∵ RM ⊥ ST

∴ m∠RMS = 90°

- In quadrilateral RMSD

∵ m∠S = 135°

∵ m∠RDS = 90°

∵ m∠RMS = 90°

∵ The sum of measure of the angles of RMSD = 360°

∴ m∠DRM = 360 - ( 135 + 90 + 90) = 45°

You might be interested in
Differentiate f(x)=x^2sin(x)
yanalaym [24]

x^2 cos(x)+2x sin (x)

Hope this helps!

6 0
3 years ago
What point is the center of dilation
igor_vitrenko [27]

Answer:

The answer is C/Point E

Step-by-step explanation:

I did the test.

4 0
3 years ago
Read 2 more answers
3(a+1.5)=-1.5 <br> what value of a makes the equation true?
777dan777 [17]

Answer:

The answer is a= -2

Hope this helped :)

4 0
3 years ago
Determine the value of y for y=5x
Ilia_Sergeevich [38]
You just multiply the x value by 5
-2(5)=-10
-1(5)=-5
0(5)=0
3(5)=15
6(5)=30
9(5)=45
5 0
2 years ago
Read 2 more answers
Michael is 17 years old than john. In 4 years the sum of their ages will be 49. Fins Michaels present age.
alexandr1967 [171]
Wouldnt it be 21 idk dont pay attention to me lol
3 0
3 years ago
Read 2 more answers
Other questions:
  • Packard Corporation reported pretax book income of $501,400. Included in the computation were favorable temporary differences of
    15·1 answer
  • The solution of a +b &gt; 12 is a &gt; -3. What is the value of b?
    11·1 answer
  • Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212
    12·2 answers
  • The expression 4x/5-2x/3 is equivalent to what?
    13·1 answer
  • Need help on this question and no the answer is not 21 I tried it
    11·2 answers
  • What is the perimeter of the triangle
    10·1 answer
  • Please and Thank You ​
    13·2 answers
  • Leticia has two bouquets of flowers.Each bouquet contains 13 daisies.
    5·1 answer
  • The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).
    12·1 answer
  • Plzzzz help me!!!<br><br><br><br>Plz don't steal my points or add a link​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!