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
A rectangle has an area of 42 cm²; the length is 7 cm. Find its width.
liubo4ka [24]
You would have 6cm as the width because length times width = area
7 0
3 years ago
I need help with this problem please
GrogVix [38]

Answer:

j = 2/3

Step-by-step explanation:

-1/3 = -1/2 j

Multiply each side by -2

-1/3 * -2 = -1/2 j * -2

2/3 =j

3 0
2 years ago
Read 2 more answers
Solve.<br> 2a + 3b = 5<br> b=a5<br> a = 4<br> b = -1<br> a = 4<br> b=1
nikklg [1K]

Answer:

5 = 5    True

1 = 20   False

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HELPPPP IMMEDIATELY....
lana [24]
First you do what is inside the parentheses. 10 x 5 - 3. 50 - 3 =47. Then you multiply 47 x 5 = 235.
3 0
3 years ago
Read 2 more answers
Subtract. Write your answer as a fraction in simplest form. -5/10 - 3/10
grin007 [14]

Answer:

7/60

Step-by-step explanation:

U find the common denominator, subtract how you would with negative and postive integers, and check if you can simplify

3 0
3 years ago
Read 2 more answers
Other questions:
  • Divide.
    14·1 answer
  • Solve 35x+25=40x+0 please thank you with steps
    11·1 answer
  • New shoes are on SALE. You find a pair you like for $85 dollars. But you only have $45 with you. So, you pay $40 and
    12·1 answer
  • A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio
    6·1 answer
  • What is the measure of angle A?
    15·1 answer
  • 1.
    8·1 answer
  • Binomial consists of _______ terms. A. 2 B. 1 C. 4 D. 3
    10·2 answers
  • Help pls! i cant figure it out
    12·2 answers
  • WILL GIVE BRAINLIEST: if the roots of the equation x^3 +px^2+qx+r = 0 are 2, 3, and 4, find the values of p, q, and r.
    8·1 answer
  • The ______ of the degrees of each factor is
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!