The value of the variable y is 9 given that BDJ=7y+2 and angle JDR=2y+7
From the attached diagram, we can see that the sum of m<BDJ and m<JDR is complementary (i.e. sums up to 90degrees)
Given the following
m<BDJ = 7y + 2
m<JDR = 2y + 7
Summing up to 90
m<BDJ + m<JDR = 90
7y + 2 + 2y + 7 = 90
7y+2y+2+7 = 90
9y + 9 = 90
9y = 90-9
9y = 81
y = 81/9
y = 9
Hence the value of the variable y is 9
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