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Answer:
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.
- This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.
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°.