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In /_\EFG,m/_E=(3x+7)^(@),m/_F=(6x-8)^(@), and m/_G=(6x-14)^(@). What is the value of x ? Answer:

In △EFG,m∠E=(3x+7)∘,m∠F=(6x−8)∘ \triangle \mathrm{EFG}, \mathrm{m} \angle E=(3 x+7)^{\circ}, \mathrm{m} \angle F=(6 x-8)^{\circ} , and m∠G=(6x−14)∘ \mathrm{m} \angle G=(6 x-14)^{\circ} . What is the value of x x ?\newlineAnswer:

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Full solution

Q. In △EFG,m∠E=(3x+7)∘,m∠F=(6x−8)∘ \triangle \mathrm{EFG}, \mathrm{m} \angle E=(3 x+7)^{\circ}, \mathrm{m} \angle F=(6 x-8)^{\circ} , and m∠G=(6x−14)∘ \mathrm{m} \angle G=(6 x-14)^{\circ} . What is the value of x x ?\newlineAnswer:
  1. Set up equation: In a triangle, the sum of the angles is always 180180 degrees. We can set up an equation using this fact with the given angle measures.
  2. Simplify equation: Combine like terms to simplify the equation.
  3. Isolate variable: Add 1515 to both sides to isolate the term with the variable on one side.
  4. Solve for x: Divide both sides by 1515 to solve for xx.

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