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andreev551 [17]
3 years ago
12

Help on math angle question. ik its easy but I have no idea how math works :D

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

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Step-by-step explanation:

The given is:

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We need to find the length pf PQ

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The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

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- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

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- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

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Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

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