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  • 22-12-2020
  • Mathematics
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7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.

7 Determine the value of x for which ris if m1 80 X and m22 90 2x class=

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gcantiga44
gcantiga44 gcantiga44
  • 22-12-2020

The given is that r║s while the angles are known.

m∠1 = 80 - x

m∠2 = 90 - 2x

m∠1 = m∠2 because of corresponding angles theorem.

So,

m∠1 = m∠2

80 - x = 90 - 2x

- x = 90 - 80 - 2x

- x = 10 - 2x

- x + 2x = 10

x = 10

The value of x is 10

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