In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?

Mathematics

1 answer:

Stels [109]2 years ago

6 0

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

∠E + ∠F +∠G= 180°

⇒ 8x-16 +x+8+ 2x-10 = 180

⇒ 11x-18= 180

⇒ 11x = 180+18

⇒11x=198

⇒ x= 18 [Divide both sides by 11]

Hence, the value of x= 18

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