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
vlada-n [284]
3 years ago
8

The measure of the exterior angle of the triangle is ___

Mathematics
2 answers:
mr_godi [17]3 years ago
4 0

Answer: 114°

Step-by-step explanation:

<h2>Concept: </h2>

Here, we need to know the idea of the "Exterior Angle theorem".

<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.

If you are still confused, then refer to the attachment below for a graphical explanation.

<h2>Solve:</h2>

Given

24 + (2x + 18) = 3x + 6

Put like terms together

24 + 18 + 2x = 3x + 6

Combine like terms

42 + 2x = 3x + 6

Subtract 6 on both sides

42 + 2x - 6 = 3x + 6 - 6

36 + 2x = 3x

Subtract 2x on both sides

36 + 2x - 2x = 3x - 2x

x = 36

Exterior angle = 3x + 6 = 3(36) + 6 = 114°

Hope this helps!! :)

Please let me know if you have any questions

Verizon [17]3 years ago
4 0
<h3>We know sum of two interior angles=exterior angle</h3>

\\ \sf\longmapsto 2x+18+24=3x+6

\\ \sf\longmapsto 2x+42=3x+6

\\ \sf\longmapsto 2x-3x=6-42

\\ \sf\longmapsto -x=-36

\\ \sf\longmapsto x=36

<u>E</u><u>x</u><u>t</u><u>e</u><u>r</u><u>i</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u>

\\ \sf\longmapsto 3x+6

\\ \sf\longmapsto 3(36)+6

\\ \sf\longmapsto 108+6

\\ \sf\longmapsto 114°

You might be interested in
Please help me with this math question!
nlexa [21]
If the temperature drops 35 degrees everyday for 7 days, you would have to add -35 + -35 + -35 +-35 + -35 + -35 + -35, since each day it drops the temperature would be -35, now the answer would be -245.

Hopefully this helped. :)
8 0
3 years ago
Read 2 more answers
N 1968, it cost $54,000 for a 30-second commercial during the Super Bowl. In 1973, the cost for a 30-second commercial was $88,0
madreJ [45]
In 5 years, the price increased about 30%.
I am not good at perentages, so correct me if I'm wrong. Also this is an estimation, not the exact percentage.
8 0
3 years ago
For which equations below is x = -3 a possible solution? Select three options.
yaroslaw [1]

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Select the equation has no solution. A) 2x + 17 - 7x - 6 = 8 - 10x - 19 + 5x B) 7 + 16x + 1 - 4x = 24 + 8x - 9 + 3x C) 9x - 3 +
AlexFokin [52]
These problems really aren't hard just set them equal to each other and see if what they are saying is true. Are they equal? Do they both equal 0?

8 0
3 years ago
Read 2 more answers
The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
Sladkaya [172]

Answer:

13

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

8 0
3 years ago
Other questions:
  • Write this expression in standard form by collecting like terms:
    9·1 answer
  • I need too know what is 8×25×23?
    7·2 answers
  • Write the verbal phrase as an algebraic expression/equation: a number m cubed
    7·1 answer
  • Factor the expression below x^2 - 10x + 25
    15·2 answers
  • Please help me how i start and what the answer step by step
    7·2 answers
  • A mirror with a reflecting surface that caves inward is said to be
    12·1 answer
  • Select all the equations that describe each situation and then find the solution.Han's house is 450 meters from school. Lin hous
    14·1 answer
  • Which parent function is represented by the graph?
    8·1 answer
  • What is the midpoint of the segment shown below? (-2,4) (6,-4)
    15·1 answer
  • Can you solve for b bh=r
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!