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Bad White [126]
2 years ago
15

Help how do you do this help fast please

Mathematics
1 answer:
GalinKa [24]2 years ago
7 0

Answer:

x= 50°

Hope it helps!

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360°

So, x+40+x+20+2x+2x = 360

6x + 60= 360

6x = 360-60 = 300

6x= 300

x= 300/6

= 50

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2 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

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Now focus on the interior angles of triangle TUS. We have these three angles

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For any triangle, the interior angles always add to 180, so,

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-6x + 246 = 180

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-6x = -66

x = -66/(-6)

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Use this x value to find the angle measures we're after:

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--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

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that leads to the equation

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Solving this should lead to x = 11 to generate the angles mentioned earlier.

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