exulajin exulajin
  • 23-09-2018
  • Mathematics
contestada

please help me to answer this questionn

please help me to answer this questionn class=

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Аноним Аноним
  • 23-09-2018

QPOR is a quadrilateral, and as such, the sum of its interior angles is 360°. We have information about all its angles:

  • Angle P is 18*
  • Angle R is 30°
  • Angle O is [tex] 360-x[/tex], because it is explementary to x
  • Angle Q is [tex] \frac{x}{2} [/tex], becuase it is a circumference angle sharing the same arc with angle POR.

So, you have

[tex] x+\dfrac{x}{2}+18+30 = 360 \iff \dfrac{3x}{2} = 312 \iff 3x = 624 \iff x = 208 [/tex]

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