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Serggg [28]
3 years ago
14

I) Find ∠RPU.ii) Find the value of y​

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

<RPU = 20 degrees

<y= 140 degrees

Step-by-step explanation:

<STU = 60 degrees ( In a Cyclic quadrilateral opposite <'s sum to 180)

Therefore <RPU = 180-60-100

= 20 degrees (Angle sum in a triangle = 180)

Triangle QPV is isosceles and base angles in an isosceles are equal so <QVP = 20 degrees.

Thus <y = 180-20-20

= 140 degrees.

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sertanlavr [38]

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<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

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<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

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<em><u>Add eqn 2 and eqn 3</u></em>

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( - ) --------------------

8a = 4

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Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

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b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

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3 years ago
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