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serg [7]
3 years ago
8

Please help me! I need to find what the measure of angle VTS is​

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

The angles in a triangle are equal to 180 degrees

Keeping in mind alternate angles are always equal we can say that <u>∠TVU=∠VTS</u>

So we can find ∠TVU which is equal to 15x+1

In order to  find the angle we need the value of x

13x+3+15x+1+64=180

Simplify

28x+68=180

Isolate x

28x=180-64\\28x=112\\x=\frac{112}{28}\\x=4

Now that we have the value of x we can substitute in 15x+1

15(4)+1\\=60+1\\=61

With ∠TVU being 61 degrees, ∠VTS is also 61 degrees as they are alternate angles

Hope this helps :)

If you need further help, just let me know, I would be happy to help :)

spayn [35]3 years ago
7 0
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Adjacent angles total to 180 degrees

15x + 1 + 13x + 3 + 64 = 180

28x + 68 = 180

Subtract 68 from both sides:

18x = 112

Divide both sides by 28:

x = 4

Substitute this value back in:

15(4) + 1 = 61

Angle VTS = 61 degrees

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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<u />

<h3>What condition guarantees the similarity of the right triangles?</h3>

1. ∠LMK = 90° given

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∠LJK ≅ ∠LJK reflexive property

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∠JLK ≅ ∠JLK by reflexive property

  • <u>ΔLJK is similar to ΔLKM</u> by AA similarity

By the property of equality for triangles that have equal interior angles, we have;

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2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

  • <u>ΔYWZ is similar to ΔZWX</u>, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

  • <u>ΔYWZ is similar to ΔYZW</u> by AA similarity postulate

Therefore;

  • <u>ΔZWX ~ ΔYZW</u>

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From the similar triangles, we have;

\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}

8 × 6 = 10 × x

48 = 10·x

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20 × 21 = x × 29

420 = 29·x

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  • The geometric mean of 16 and 27 is <u>12·√3</u>

<u />

7. The geometric mean of 5 and 36 is found as follows;

G.M. = \sqrt[2]{5 \times 36}  = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}

  • The geometric mean of 5 and 36 is <u>6·√5</u>

Learn more about the AA similarity postulate and geometric mean here:

brainly.com/question/12002948

brainly.com/question/12457640

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