Find slope of a line perpendicular to each given

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

2. (Solving)

Step 1: Combine like terms.

Step 2: Subtract 20 from both sides.

Step 3: Subtract 5x from both sides.

Step 4: Check if solution is correct.

3. Now, let's plug in 15 for 6x + 20:

Therefore, m∠QPT = 110°.