Chiebacusidn
Answered

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If m<2= (2m-20)° and <4= (130-m)°, what is the value of M?

A. 40°

B. 50°

C. 60°

D. 70°

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make sure your answer is correct.​

If Mlt2 2m20 And Lt4 130m What Is The Value Of MA 40B 50 C 60D 70 GOOD LUCK Make Sure Your Answer Is Correct class=

Sagot :

MissJindySummeridn

[tex]\Large\color{aqua}\underline\mathbb{ANGLES}[/tex]

If m<2= (2m-20)° and <4= (130-m)°, what is the value of M?

[tex]\\[/tex]

As you can see in the figure, ∠2 and ∠4 are congruent. So that means it has the same measurement. Follow the solution and you will know the value of m.

  • 2m - 20 = 130 - m
  • 2m + m = 130 + 20
  • 3m = 150
  • m = 150/3
  • m = 50

[tex]\\[/tex]

I conclude that the value of m is 50. Let us check if ∠2 and ∠4 are really congruent.

[tex]\\[/tex]

  • 2m - 20 = 130 - m; m = 50
  • 2(50) - 20 = 130 - 50
  • 100 - 20 = 130 - 50
  • 80 = 80 ✔

[tex]\\[/tex]

[tex]\color{purple}\underline\mathbb{ANSWER:}[/tex]

  • ∴ Therefore, the value of m is B. 50°.

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[tex]\tt\color{aqua}{2:28 \: pm}[/tex]

[tex]\tt{3/2/22}[/tex]

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