Question

7/13 what steps would you take to find the measure of angle e? first, next, scroll more → drag these tiles and drop them in the correct blank above find the sum of the interior angles substitute your x back into angle e divide the sum by the number of sides set up an equation with all your angles = 360

Explanation:

Step1: Identify the polygon type

Assume it's a quadrilateral (since the sum of interior angles for a quadrilateral is \(360^\circ\)). First, recall the formula for the sum of interior angles of a polygon: \(S=(n - 2)\times180^\circ\), where \(n\) is the number of sides. For a quadrilateral, \(n = 4\), so \(S=(4 - 2)\times180^\circ=360^\circ\). So the first step is to "find the sum of the interior angles" (using the polygon angle - sum formula) or recognize that for a quadrilateral, the sum is \(360^\circ\) (the tile "set up an equation with all your angles \(= 360\)" can be related here as we know the total sum is \(360\) for a quadrilateral).

Step2: Sum the known angles and solve for \(x\)

After knowing the total sum of interior angles (e.g., \(360^\circ\) for a quadrilateral), we sum the given angles and then set up an equation where the sum of known angles plus \(x\) (angle \(E\)) equals \(360^\circ\). Then we solve for \(x\) (substitute values, subtract the sum of known angles from \(360^\circ\) to find \(x\)). If we consider the tiles: First, we can use "set up an equation with all your angles \(= 360\)" (since the sum of interior angles of a quadrilateral is \(360\)), then "substitute your \(x\) back into angle \(E\)" (but actually, we solve for \(x\) which is angle \(E\)). Alternatively, if we first "find the sum of the interior angles" (using the polygon formula) to confirm it's \(360\) for a quadrilateral, then set up the equation.

For the tile placement (assuming the first blank is "First" and the second is "Next"):

• First: "set up an equation with all your angles \(= 360\)" (because we know the sum of interior angles of a quadrilateral is \(360^\circ\), so we set the sum of all angles (including \(x\)) equal to \(360\)) or "find the sum of the interior angles" (to get the total sum as \(360\) for a quadrilateral).
• Next: "substitute your \(x\) back into angle \(E\)" (after solving the equation for \(x\), we confirm it's angle \(E\)) or "divide the sum by the number of sides" (but for a quadrilateral, dividing \(360\) by \(4\) gives \(90\) only if it's a regular quadrilateral, which may not be the case here, so the more appropriate next step after setting up the equation is to solve for \(x\), which is related to substituting and solving, so "substitute your \(x\) back into angle \(E\)" as we solve for \(x\) which is angle \(E\)).

Answer:

The steps would involve (First) setting up an equation with all angles equal to \(360\) (since the sum of interior angles of a quadrilateral is \(360^\circ\)) and (Next) substituting values to solve for \(x\) (angle \(E\)) or first finding the sum of interior angles (using the polygon formula) then setting up the equation. The key tiles for the steps are: First - "set up an equation with all your angles \(= 360\)" (or "find the sum of the interior angles"), Next - "substitute your \(x\) back into angle \(E\)".