Question:

Level 3

In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.

In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.

4 m

Level 3

In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find

In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find

- ∠x,
- ∠y.

4 m

Level 3

In the figure, ABC and CDE are isosceles triangle where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find

In the figure, ABC and CDE are isosceles triangle where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find

- ∠GKJ
- ∠EFK

4 m

Level 3

Given the figure, find

Given the figure, find

- ∠y
- ∠x

4 m

Level 3

Given the figure, find

Given the figure, find

- ∠z
- ∠y
- ∠x

4 m

Level 3

In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.

In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.

4 m

Level 3

ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find

ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find

- ∠CFD,
- ∠DCF.

4 m

Level 3

A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.

A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.

4 m

Level 3

ABCD is a rhombus. Find ∠z.

ABCD is a rhombus. Find ∠z.

4 m

Level 3

In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find

In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find

- ∠x
- ∠y.

5 m