Respuesta :

Answer:

[tex]m=158[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Hence,

[tex](m-29)+51=180[/tex]

Remove brackets:

[tex]m-29+51=180[/tex]

[tex]m+22=180[/tex]

Subtract 22 from both sides:

[tex]m+22-22=180-22[/tex]

[tex]m=158[/tex]

Answer:

[tex]\displaystyle 158 = m[/tex]

Step-by-step explanation:

Both angles form a linear pair, making them supplementary angles. This means you set both expressions equivalent to one hundred eighty degrees:

[tex]\displaystyle 180° = 51° + [m - 29]° \hookrightarrow 180° = [m + 22]° \\ \\ \boxed{158 = m}[/tex]

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