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4 years ago

Find the value of x.

Mathematics

1 answer:

elena-s [515]4 years ago

8 0

Hi there!

Using the formula - n-2*180 -, we know that the interior angles of a pentagon add up to 540. We can use the values we're given and add them together and set them all equal to 540, then solve.

WORK:
540 = 204 + 12x
336 = 12x
x = 28

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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<u>Given</u>:

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The measure of ∠T is 16°

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The length of TU can be determined using the trigonometric ratio.

Thus, we have;

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where $\theta=16^{\circ}$ , adj = TV and hyp = TU

Thus, we get;

$cos \ 16^{\circ}=\frac{4.9}{TU}$

Simplifying, we get;

$TU=\frac{4.9}{cos \ 16^{\circ}}$

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Rounding off to the nearest tenth, we get;

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