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KengaRu [80]
3 years ago
7

I been stuck on dis anybody know it?

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

a. 180 degrees

b. 180 degrees

c. transitive property

d. m<3

e. m<3


Supplementary angles are angles that equal 180 degrees.

Transitive property : if two angles (segment) are each congruent to a third segment (angle) then they are both congruent to each other.


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Olaf earned $416.03 commission on his sales of $9245.00. What was his rate of commission?
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The size of the largest angle in a triangle is 3 times the size of the smallest angle.
tamaranim1 [39]

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

  • The size of the largest angle in a triangle is 3 times the size of the smallest angle
  • The third angle is 10° more than the smallest angle
  • The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

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