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julsineya [31]
3 years ago
9

I need help on answering this question

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

<h2>The answer is 72°</h2>

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

<h3>x = 72°</h3>

Hope this helps you

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The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15

The two complementary angles are:

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Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/573382
  • brainly.com/question/570997

#LearnwithBrainly

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