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LekaFEV [45]
3 years ago
9

PLS ANSWER AS SOON AS POSSIBLE

Mathematics
2 answers:
MaRussiya [10]3 years ago
5 0

Answer:

x = 28⁰

Step-by-step explanation:

sum of the angles of a triangle = 180⁰

∠A + ∠B + ∠C = 180⁰

∠A = 5x - 60⁰

∠B = 2x + 40⁰

∠C = 3x - 80⁰

<h2>:- Solution</h2>

∠A + ∠B + ∠C = 180⁰

5x - 60 + 2x + 40 + 3x - 80 = 180⁰

5x + 2x + 3x - 60 + 40 - 80 = 180⁰

10x - 20 - 80 = 180⁰

10x - 100 = 180⁰

10x = 180 + 100⁰

10x = 280⁰

x = 280⁰/10

x = 28

_______________________

koban [17]3 years ago
5 0

<u>Question:-</u><u> </u>

  • The angles in a triangle are as follows

<u>Given</u><u> </u><u>angles</u><u>:</u><u>-</u>

  • Angle A = 5x - 60
  • Angle B = 2x + 40
  • Angle C = 3x - 80

<u>To</u><u> </u><u>find</u><u>:</u>

  • The value of the variable x

<u>R</u><u>e</u><u>q</u><u>u</u><u>i</u><u>r</u><u>e</u><u>d</u><u> </u><u>Solution</u><u>:</u>

We know that ,

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

{\longrightarrow} \tt \: 5x - 60 + 2x + 40  + 3x - 80 = 180

{\longrightarrow} \tt 10x - 60 + 40 - 80 = 180

{\longrightarrow} \tt 10x - 100 = 180

{\longrightarrow} \tt 10x = 280

{\longrightarrow}{    \pink{ \underline{ \boxed{ \tt \: x = 28}}\star}  }

<u>Therefore</u><u>:</u>

  • The measure of x is 28 degrees

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