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
MArishka [77]
3 years ago
13

Find the measure of each angle using the triangle sum theorem and exterior angle theorem

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

You might be interested in
I need help and the answer for this practice question please help
muminat

Answer:

The answer is ∆XWY. The reason being both sides are congruent.

4 0
2 years ago
Match the number of significant figures to the value or problem.
Leya [2.2K]

Answer:

answer is 1 2 3 and 4 respectively of given match the following

7 0
3 years ago
Find the distance between the points (10,10) and (4,10).
Yanka [14]
The formula for distance is :

d = √(x₂-x₁)²+(y₂-y₁)²

Let the point (10;10) be (x₂; y₂) , and let the point (4;10) be (x₁;y₁).

So it would look like this -

d = √(10-4)² + (10-10)²

d = √(6)²+ (0)

d = √36

d = 6 units

Hope this helped~
3 0
2 years ago
What is the value of A when we rewrite 4^31^x as A^x
Mumz [18]

Answer:

This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x?

I might be wrong here.

Step-by-step explanation:

Hope this helps, have a good day! :)

7 0
2 years ago
What is the answer to 8x-5674=[c+-4577]<br> What is c
Artist 52 [7]
It's not completely clear what you want.   Your  <span>8x-5674=[c+-4577]  has two variables:  x and c.  You can solve this for x or you could solve it for c, but not for both.  Also, your "+-" should be written as "-"  (unless you meant "plus OR minus 4577)."

So there are several different approaches, depending upon what you meant!
If you mean this:    </span><span>8x - 5674=[c - 4577] and want to solve for c,  do the following:
1.  Remove the unnecessary brackets  [  ]
2.  Add 4577 to both sides the resulting equation.  The result will be the expression for c that you wanted.  Note that you must combine -5674 and 4577.</span>
6 0
3 years ago
Other questions:
  • How many lines of rotational symmetry does this shape have?
    11·1 answer
  • Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is Rachel wants to flip the same coin
    12·2 answers
  • on a suspension bridge the roadway is hung from cables hanging between support towers. the cable of one bridge segment of the pa
    8·1 answer
  • Jamila has a bag that contains one tile for each letter of the alphabet what is the propibility that she will pull a vowel?
    9·1 answer
  • Solve multi step equations <br> a-2+3 = -2.
    14·2 answers
  • What is the sun of the 14th square number 9th square number
    14·1 answer
  • A set of pens sells for $6.25 and costs $3.50 to make. Forty-two percent of the profit (the difference between the purchase pric
    11·2 answers
  • I’m tired and I just want to get this done. I’ve gotten too many wrong so far. Pls help!
    12·2 answers
  • Answer these questions about killer whales:
    8·1 answer
  • Can some one help meeee
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!