Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?
3 m
Level 3
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
3 m
Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.
3 m
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Level 2
In the figure, AB and CD are straight lines. ∠AOC is 54°. What is the sum of ∠a and ∠b?
3 m
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Level 3
AB = BE and AB = BC. Given that ∠DAB is 28° and ∠ADE is 92°, find ∠EAD.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m