(5x -13°) + (4x+4) =180°
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Step-by-step explanation:
In case of the cyclic quadrilateral, Opposite angles are supplementary.
∴ ∠R + ∠N = 180°
⇒ 5x - 13 + 4x + 4 = 180
⇒ 9x - 9 = 180
⇒ x - 1 = 20
∴ x = 21
Now,
∠ R = 5x - 13 = 5(21) - 21
= 105 - 21
= 84°
∠N = 4x + 4 = 8(21) + 4
= 84 + 4
= 88°
Hope it helps.
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