Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 19 Page 72

Angles marked with the same angle marker are congruent.

14

Practice makes perfect
Looking at given figure, we can see that we have two angles marked with the same angle marker: ∠ NQM and ∠ PQR.
Since angles marked with the same angle marker are congruent, we can tell that the measures of angles ∠ NQM and ∠ PQR are equal. Equating them and substituting given expression for the measures creates an equation that we can solve for x.
m∠ NQM = m∠ PQR
2x+8= x+22
2x=x+14
x=14