4.5 Lines and Triangles Quiz

For ∆FHG, find the measure of the smallest angle, ∠HFG, if the m∠GHF = 92° and m∠HGF = 72°.

A. 16

Find the value of x.

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Given ⃤ ABC, find the value of x.

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State the relationship between segments . Explain. (4 points)

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When given the m∠1 =(2x - 9) and m∠2 = (5x - 7),find the value of x that will make m || n? (2 points)

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Find the values of x, y, and z. The diagram is not to scale.

B. x = 86, y = 75, z = 94

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. There are two parallel sidelines on each side of the field. If the 50 yard line is perpendicular to one of the sidelines, what is its relationship to the other sideline?

D. The 50 yard line is perpendicular to the other sideline by the Perpendicular Transversal Theorem.