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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

2. Angles and Parallel Lines

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Exercise 52 Page 186

If the angles form a linear pair the sum of their measures is 180.

m∠ 1 = 113

Practice makes perfect

Notice that from the given statement we know that ∠ 1 and ∠ 2 form a linear pair.

By the Supplement Theorem we know that they are supplementary angles, and we get the following relation. m∠ 1+m∠ 2 = 180 Now, let's use the fact that the statement says that the measure of ∠ 2 is 67. We will substitute this into the equation and solve for m∠ 1.

m∠ 1+m∠ 2 = 180

m∠ 2= 67

m∠ 1+ 67 = 180

LHS-67=RHS-67

m∠ 1=113

The measure of ∠ 1 is 113.

Subchapter links

Check Your Understanding p.183

Practice and Problem Solving p.183-185

H.O.T. Problems p.185

Standardized Test Practice p.186

Spiral Review p.186

Skills Review p.186