McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
2. The Pythagorean Theorem and Its Converse
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Exercise 67 Page 555

50

Practice makes perfect

We want to find the measure of ∠ 2 in the given figure. We have been given measures of the two angles of the figure, m ∠ DGF and m ∠ AGC, and the measure of ∠ 1 was discovered in the previous exercise.

Note that m ∠ 2 and m ∠ AGC are complementary. m ∠ 2 + m∠ AGC = 90^(∘) Let's substitute the known value to solve the equation for m∠ 2 .
m ∠ 2 + m∠ AGC = 90
m ∠ 2 + 40 = 90
m ∠ 2 = 50
The measure of m ∠ 2 is 50^(∘).