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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Angles and Parallel Lines

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Exercise 9 Page 311

Find the relationships between the angles and use the Alternate Exterior Angles Theorem.

x=114 by the Alternate Exterior Angles Theorem

Practice makes perfect

Looking at the given diagram, we can see that the given angles are nonadjacent exterior angles that lie on opposite sides of a transversal. This means that they are alternate exterior angles.

Furthermore, we see that the lines are parallel. Therefore, according to the Alternate Exterior Angles Theorem, the angles are congruent. Since they are congruent, they have the same measure. 104= x-10 Let's solve this equation.

104=x-10

LHS+10=RHS+10

114=x

Rearrange equation

x = 114

The value of x is 114 by the Alternate Exterior Angles Theorem.

Subchapter links

Exercises p.311-314