Can anyone please help me with this?

Mathematics

2 answers:

AnnyKZ [126]3 years ago

7 0

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°.

bonufazy [111]3 years ago

7 0

Answer:

120

explain..
i hope this helps

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qaws [65]

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