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I need them like rn please and thank you

I need them like rn please and thank you-example-1
User Matzi
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1 Answer

5 votes

Answer:

The value of x is 9

Explanation:

The measure of the exterior angle at a vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex

In the given figure

∵ ∠DFG is an exterior angle at vertex F

∵ The angles of measures (5x - 7) and 89° are the opposite interior

angles to the vertex F

m∠DFG = (5x - 7) + 89

∵ m∠DFG = 14x + 1

→ Substitute it in the equation above

14x + 1 = 5x - 7 + 89

→ Add the like terms in the right side

∵ 14x + 1 = 5x + 82

→ Subtract 1 from both sides

∵ 14x + 1 - 1 = 5x + 82 - 1

∴ 14x = 5x + 81

→ Subtract 5x from both sides

∴ 14x - 5x = 5x - 5x + 81

∴ 9x = 81

→ Divide both sides by 9

x = 9

The value of x is 9

User Andy Strife
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