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Question 8.1.6: Determining Angle Measures Figure 8.15 shows two parallel li......

Determining Angle Measures

Figure 8.15 shows two parallel lines cut by a transversal. If m ∡ 8 = 52°, determine the measure of ∡1 through ∡7.

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m∡6 = 52°         ∡8 and ∡6 are vertical angles.

m∡5 = 128°       ∡8 and ∡5 are supplementary angles.

m∡7 = 128°       ∡5 and ∡7 are vertical angles.

m∡1 = 128°       ∡1 and ∡7 are alternate exterior angles.

m∡4 = 52°       ∡4 and ∡6 are alternate interior angles.

m∡2 = 52°       ∡6 and ∡2 are corresponding angles.

m∡3 = 128°       ∡3 and ∡1 are vertical angles.

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