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erica [24]
3 years ago
15

Find the measures of the interior angles of the triangle.

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

x = 88

The measurement of the other unknown angle is = 44°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

48 + x + x - 44 = 180 add like terms

4 + 2x = 180 subtract 4 from both sides

2x = 176 divide both sides by 2

x = 88

Now to find the measure of two other angles we replace x with 88

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1. Let C be between D and E. Use the Segment addition Postulate to solve for v.
AURORKA [14]

By applying the segment addition postulate, the <u>value of v = 7</u>

  • According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

  • Given that:

DC = 2v-15\\\\CE = 3v-8\\\\DE = 27

  • Therefore, by substitution, we will have the following equation:

(2v-15) + (3v-8) = 27

  • Open the bracket and solve for the value of v.

2v-15 + 3v-8 = 27

  • Add like terms

5v - 23 = 27

  • Add 23 to both sides

5v - 23+ 23 = 27 + 23\\\\5v = 50

  • Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the <u>value of v = 10</u>

Learn more about the segment addition postulate here:

brainly.com/question/1721582

7 0
2 years ago
How much money will you make if you make 11.35 for 10 hours 4 days a week?
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4 0
3 years ago
Classify the scenarios based on whether they are observational studies, experimentsor surveys. Scenarlo A: Twenty employees of a
Alex777 [14]

Answer:

Scenario A: Survey

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6 0
3 years ago
Point N is on line segment MO. Given MN = x, MO = 3x - 6,
finlep [7]

Answer:

Step-by-step explanation:

N is between points M and O

MN = x

MO = 3x - 6

NO = x + 1

The way it reads MN + NO = MO

x + x + 1 = 3x - 6

2x + 1 = 3x - 6

2x - 2x +1 = 3x -2x - 6

1 = x - 6          

1 + 6 = x

x = 7

MO = 3x - 6

MO = 3*7 - 6

MO = 21 - 6

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7 0
3 years ago
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3 years ago
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