[tex]\Large\color{aqua}\underline\mathbb{ANGLES}[/tex]
If m<2= (2m-20)° and <4= (130-m)°, what is the value of M?
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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 ✔
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[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]
