Question

What is the value of p?
answer the question somebody

Answer 1

`\large\boxed{\tt m \angle p = 54.7^(\circ)}`

Explanation:

`\textsf{We are asked to find the value of p.}`

`\textsf{Note that we are given \underline{Vertical Angles}, and a \underline{perpendicular} set of lines.}`

`\large\underline{\textsf{What are Vertical Angles?}}`

`\textsf{Vertical Angles are 2 angles that are opposite from each other, and share a}`

`\textsf{common vertex point. (center point) Vertical Angles are congruent as they are}`

`\textsf{formed by the same 2 intersecting lines.}`

`\large\underline{\textsf{What are Perpendicular Lines?}}`

`\textsf{Perpendicular Lines are 2 sets of lines that intersect each other with opposite}`

`\textsf{reciprocal slopes. Perpendicular Lines form 4 right angles that are 90}^(\circ).`

`\large\underline{\textsf{Identifying Vertical Angles;}}`

`\textsf{Remember that vertical angles are opposite from each other, and are congruent.}`

`\textsf{We are given 1 measure of an angle, and this angle has a measure of 35.3}^(\circ).`

`\textsf{The angle opposite to it, (below angle p) is opposite from our angle.}`

`\textsf{We have identified our vertical angle, now let's identify p.}`

`\large\underline{\textsf{Identifying m} \tt \angle p;}`

`\textsf{We should know that we are Perpendicular lines, and angle p is overlapped in one.}`

`\textsf{This means that these angles are \underline{Complements}, angles that add up to 90}^(\circ).`

`\textsf{Because we know that the other angle inside the right angle is 35.3}^(\circ), \ \textsf{we are}`

`\textsf{able to set up an equation to find p.}`

`\tt p = 90^(\circ) - 35.3^(\circ)`

`\underline{\textsf{Evaluate;}}`

`\large\boxed{\tt m \angle p = 54.7^(\circ)}`