Question

solve this problem please!
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Answer 1

Step-by-step explanation:

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Answer 2

GIVEN:

<POR : <ROQ = 5:7

TO FIND:

<POR, <ROQ, <QOS and <SOP

<POR + <ROQ = 180°

Since <POR : <ROQ = 5:7,

let <POR be 5x and <ROQ be 7x

5x + 7x = 180°

12x = 180°

x = 180/12

x = 15°

Therefore,

<POR = 5x = 75°

<ROQ = 7x = 105°

<POR = <QOS (vertically opposite angles)

<QOS = 75°

<ROQ = <SOP (vertically opposite angles)

<SOP = 105°