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Geometry Angles Relationship Quiz

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What is the relationship between ∠FIH, ∠JIF, and ∠JIH according to the diagram?

∠FIH + ∠JIH = ∠JIF

∠JIH + ∠JIF = ∠FIH

∠FIH + ∠JIF = ∠JIH (correct)

∠FIH - ∠JIF = ∠JIH

Given m∠FIH = x + 131, m∠JIH = 160, and m∠JIF = x + 51, what equation represents the relationship between these angles?

(x + 131) + 160 = (x + 51)

160 + (x + 51) = (x + 131)

(x + 131) - (x + 51) = 160

(x + 131) + (x + 51) = 160 (correct)

Based on the provided equations, what algebraic equation is derived from the relationship of the angles?

x + 182 = 160

2x + 182 = 160 (correct)

2x + 80 = 160

2x + 182 = 0

If we solve the equation derived from the angle relationships, what value is calculated for x?

<p>-11 (D)</p> Signup and view all the answers

Why is the calculated value of x problematic in the context of the angles?

<p>It leads to a negative angle measurement. (A)</p> Signup and view all the answers

Geometry Angles Relationship Quiz

Choose a study mode

Podcast

Questions and Answers

What is the relationship between ∠FIH, ∠JIF, and ∠JIH according to the diagram?

Given m∠FIH = x + 131, m∠JIH = 160, and m∠JIF = x + 51, what equation represents the relationship between these angles?

Based on the provided equations, what algebraic equation is derived from the relationship of the angles?

If we solve the equation derived from the angle relationships, what value is calculated for x?

Why is the calculated value of x problematic in the context of the angles?

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