Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
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Exercise 19 Page 75

If an angle is marked with a square, this angle is a right angle.

y=9

Practice makes perfect

We have been asked to find the value of y. The expression m∠ BDJ is the angle measure between the rays DB and DJ. Similarly, m∠ JDR is the angle measure between the rays DJ and DR.

Since ∠ RDB is marked with a square, it means that it is a right angle. Therefore, m∠ RDB = 90. Moreover, the sum of m∠ JDR and m∠ BDJ is equal to m∠ RDB. m∠ JDR+ m∠ BDJ= m∠ RDB Let's substitute 90 for m∠RDB and the given expressions for m∠ JDR and m∠ BDJ into the equation. Then we can solve for y.
m∠ JDR+ m∠ BDJ= m∠ RDB
2y+7+ 7y+2= 90
Solve for y
9y+9=90
9y=81
y=9
We have found that y=9.