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jeka57 [31]
3 years ago
5

Help Please ( and leave on how you solved it ) ":( view pic below

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

The value of x = 10.

Step-by-step explanation:

From the given triangle,

  • The value of angle M = (3x + 28)°
  • The value of angle K = (5x - 18)°
  • The value of angle L = 90°

We know that the sum of a triangle is 180°.

i.e.

K + L + M = 180°

(5x - 18)° + 90° + (3x + 28)° = 180°

5x-18+90+3x+28=180

5x+3x-18+90+28=180

8x-18+90+28=180

8x+100=180

8x=80

\frac{8x}{8}=\frac{80}{8}

x=10

Therefore, the value of x = 10

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Ans. 1 Angle E and angle F are corresponding angles.

Solution 2.

So,

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=> x + 20 = 5x - 20

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<em>Again</em><em> </em><em>justified</em><em> </em><em>that </em><em>they </em><em>are </em><em>equal</em><em> (</em><em> </em><em>besides</em><em> </em><em>answer </em><em>1</em><em>)</em><em>.</em>

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