What is the value of angle vux

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01-06-2021
Mathematics

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What is the value of angle vux

Sagot :

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Jimthompson5910idn Jimthompson5910idn · Answer 1 · 2021-06-01T10:44:01-04:00

Answer: 156 degrees

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There are two ways to do this.

The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.

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The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y

Adding any three interior angles of a triangle always gets us 180

53+103+y = 180

y+156 = 180

y = 180-156

y = 24

Angle TUV is 24 degrees

The angle supplementary and adjacent to this is angle VUX, which I'll call z

z+y = 180

z = 180-y

z = 180-24

z = 156

So this is another way to get to the answer 156 degrees.

Sagot :

Answer: 156 degrees

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