Question

Can anyone please help me with this?

Answer 1

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.

• $6x + 20 = (x+4x)+(40-5)$
• $6x + 20 = 5x + 35$

Step 2: Subtract 20 from both sides.

• $6x + 20 - 20 = 5x + 35 - 20$
• $6x = 5x +15$

Step 3: Subtract 5x from both sides.

• $6x - 5x = 5x +15 - 5x$
• $x = 15$

Step 4: Check if solution is correct.

• $6(15)+20=(15)+40+4(15)-5$
• $90 + 20 = 15 + 40 + 60 - 5$
• $110 = 55 + 60 - 5$
• $110 = 115 - 5$
• $110 = 110$

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

• $6(15)+20$

• $90+20$
• $110$

Therefore, m∠QPT = 110°.

Answer 2

Answer:

120


explain..
i hope this helps