Exercise 62 Page 690

Let's analyze the given quadrilateral so that we can find the measure of ∠ 2.

By the definition of a rectangle, we know that WXYZ has four right angles. Therefore, the measure of m ∠ WXZ is 90. m ∠ WXZ= 90 With the Angle Addition Postulate we can express m ∠ WXZ as a sum of m ∠ 1 and m ∠ 2. m ∠ 1 + m ∠ 2 = m ∠ WXZ ⇕ m ∠ 1 + m ∠ 2 = 90 We are given that m ∠ 1= 30. We will substitute it into our equation. 30 + m∠ 2 = 90 Let's solve it!

30 + m∠ 2 = 90

SubEqn

LHS-30=RHS-30

m∠ 2=60