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Korolek [52]
3 years ago
8

In need help Relationships in Triangles

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

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The measure of ∠K is 49 degrees 22 minutes 51 seconds.

<u>Step-by-step explanation:</u>

Given that ∠J and ∠K are complementary.

∠J = 41°38'9".

∠K = ?

When a sum of two angles result is 90°, then it is called as complementary angles.

Since ∠J and ∠K are complementary, then their sum is 90°.

∠J +∠K=90°.

∠K= 90° - ∠J.

=90°60'60" - 41°38'9".

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∠K= 49 degrees 22 minutes 51 seconds.

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Find the measure of 0. Round answer to the nearest tenth. Pleas help
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Answer:

\theta=36.43^{\circ}

Step-by-step explanation:

Given that,

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