Question
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper XZAC that measures 19 cm by 15 cm. XY = BA = 6 cm. The paper is folded along the dotted line YB such that point Z touches point C, as shown in Figure 2.
  1. Find the area of Figure 2. XYBAC, after the folding. 
  2. In Figure 2, ∠XYC is 72°. Find ∠YBA in Figure 2.
4 m
(a)

Click button first when a symbol is required. X

(b)

Click button first when a symbol is required. X

The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper XZAC that measures 19 cm by 15 cm. XY = BA = 6 cm. The paper is folded along the dotted line YB such that point Z touches point C, as shown in Figure 2.
  1. Find the area of Figure 2. XYBAC, after the folding. 
  2. In Figure 2, ∠XYC is 72°. Find ∠YBA in Figure 2.