Question

Find the measure of ∠NED, not ∠CED.

Answer 1

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)

$\therefore m\angle CED = 80\degree$

Answer 2

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

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

From above statement we have :

• $9x - 8 = 5x - 10 + 50$

• $9x - 5 x = 40 + 8$

• $4x = 48$

• $x = \dfrac{48}{4}$

• $x = 12$

_____________________________

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

• $(9 \times 12) - 8$

• $108 - 8$

• $100°$

_____________________________

$\mathrm{ \#TeeNForeveR}$