Question

what steps would you take to solve for y? subtract from 360 find the number of sides, find the sum of the interior angles, then subtract from that divide 360 by the number of sides subtract from 180

Explanation:

Step1: Identify angle sum property

The figure involves angles around a point, so the sum of all angles around a point is \( 360^\circ \). The given angles are \( 85^\circ \), \( 40^\circ \), \( 25^\circ \), \( 70^\circ \), and \( y \).

Step2: Sum the known angles

Sum the known angles: \( 85 + 40 + 25 + 70 = 220 \).

Step3: Solve for \( y \)

Subtract the sum of known angles from \( 360^\circ \): \( y = 360 - 220 = 140 \). Wait, but maybe the first step is to recognize the total around a point is \( 360^\circ \), so the correct step is to subtract the sum of given angles (85, 40, 25, 70) from 360. So the first step is "subtract from 360" the sum of other angles. So the key step is to use the fact that the sum of angles around a point is \( 360^\circ \), sum the known angles, then subtract from 360 to get \( y \).

Answer:

To solve for \( y \), use the property that the sum of angles around a point is \( 360^\circ \). Sum the known angles (\( 85^\circ + 40^\circ + 25^\circ + 70^\circ = 220^\circ \)) and subtract from \( 360^\circ \): \( y = 360 - 220 = 140^\circ \). The key step is to "subtract from 360" the sum of the other angles.