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
gtnhenbr [62]
3 years ago
15

Can anyone help me with this? I've been stuck on this question for some time-

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

\angle DHF+\angle CHF=180

We already know that Angle CFH is 119. Substitute:

\angle DHF+119=180

Subtract 119 from both sides:

\angle DHF=61

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH <em>must</em> also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

\angle BGE+\angle BGH=180

Find Angle BGE. Substitute 61 for BGH:

\angle BGE+61=180

Subtract 61:

\angle BGE=119

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

\angle B+\angle BGE+\angle E=180

Substitute 18 for B and 119 for BGE. Thus:

18+119+\angle E=180

Add:

137+\angle E=180

Subtract:"

\angle E=43\textdegree

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)

You might be interested in
Ratio in lowest terms <br> 45 girls and 30 boys
drek231 [11]
3:2 is ur answer to this question
6 0
3 years ago
Will give brainliest
Paladinen [302]

Answer:180 degrees

Step-by-step explanation:

4 0
3 years ago
Which of the following best describes the following expression? √36
Olin [163]
The answer is the positive square root of 36
4 0
3 years ago
Read 2 more answers
When do you need to use two number lines to compare two fractions
OLEGan [10]
Depends on the fraction to determine your answer
4 0
3 years ago
Is (2,2) a solution of the system
pashok25 [27]

Answer:

Hi, you don't provide us with the system here...

to figure out if 2,2 is a solution of the system, you have to plug the value of 2 in for both x and y in the system, and solve to see if it comes out or not...

If you provide the system I can definitely help you out more specifically!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help thanks on my math this is my last assignment of this year thanks
    9·1 answer
  • A and B alternate tossing coins until the first head. B uses a fair coin, and A uses one where P(T) = p. If A tosses first, find
    9·1 answer
  • What is the least common multiple of 4 and 16
    11·2 answers
  • N + 7n -5=3 what is n =
    8·2 answers
  • PLEASE HELP!!!! WILL GIVE BRAINLEST
    14·1 answer
  • If Two isosceles triangles that each include an angle measuring 120∘ , are they similar triangles.
    7·1 answer
  • Solve for x b
    8·1 answer
  • Please guys say me all answer correctly​
    8·1 answer
  • Bài 1: Cho hàm số y = (m-1)x + 2 (1)
    5·1 answer
  • Factor the expression completely?<br><br>x^4-17x^2+72 ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!