We must find the value of x. By the definition of a rectangle, we know that NJKM has four right angles. Therefore, the measure of m ∠NJK is 90.
m ∠NJK=90
With the Angle Addition Postulate we can express m ∠NJK as a sum of m ∠NJM and m ∠KJM.
m ∠NJM + m ∠KJM = m ∠NJM
⇕
m ∠NJM + m ∠KJM = 90
We are given that m ∠NJM =2x-3 and m ∠KJM=x+5. We will substitute these expressions into our equation.
2x-3 + x+5 = 90
Let's solve it!
