Question

Find the value of m!!!

Answer 1

`\displaystyle 158 = m`

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:

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

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Answer 2

`m=158`

Explanation:

Angles on a straight line add up to 180 degrees.

Hence,

`(m-29)+51=180`

Remove brackets:

`m-29+51=180`

`m+22=180`

Subtract 22 from both sides:

`m+22-22=180-22`

`m=158`