Question

1. which two angles are the remote interior angles to angle w? 13. solve for x.

Explanation:

Step1: Recall remote - interior angles concept

Remote - interior angles of an exterior angle of a triangle are the two non - adjacent interior angles. For exterior angle W of the triangle, the non - adjacent interior angles are X and Y.

Step2: Use angle - sum property of a triangle for the second problem

The sum of the interior angles of a triangle is 180°. So, we set up the equation $(8x + 2)+70 + 60=180$.

Step3: Simplify the left - hand side of the equation

Combine like terms: $8x+2 + 130=180$, which simplifies to $8x+132 = 180$.

Step4: Isolate the variable term

Subtract 132 from both sides: $8x=180 - 132$, so $8x = 48$.

Step5: Solve for x

Divide both sides by 8: $x=\frac{48}{8}=6$.

Answer:

1. Angle X and Angle Y
2. $x = 6$