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musickatia [10]
3 years ago
14

Find the measure of ∠NED, not ∠CED.

Mathematics
2 answers:
finlep [7]3 years ago
6 0

Answer:

m\angle NED = 100\degree

m\angle CED = 80\degree

Step-by-step explanation:

By exterior angle theorem:

(9x - 8)° = (5x - 10)° + 50°

(9x - 8)° = (5x - 10 + 50)°

(9x - 8)° = (5x + 40)°

9x - 8 = 5x + 40

9x - 5x = 40 + 8

4x = 48

x = 48/4

x = 12

(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°

\implies m\angle NED = 100\degree

m\angle CED = 180\degree - 100\degree (Linear pair angles)

\therefore m\angle CED = 80\degree

Inessa05 [86]3 years ago
5 0

\huge{ \mathcal{  \underline{ Answer }}}\:   ✓

Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .

From above statement we have :

  • 9x - 8 = 5x - 10 + 50

  • 9x - 5 x = 40 + 8

  • 4x = 48

  • x =  \dfrac{48}{4}

  • x = 12

_____________________________

\mathrm{\angle \: NED = 9x - 8}

  • (9 \times 12) - 8

  • 108 - 8

  • 100°

_____________________________

\mathrm{ \#TeeNForeveR}

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