Sarin learns Shapes and Solids in school part 39 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings on Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can learn the skills to deal with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Angle and Shape.

Read the posting on Sarin learns Lines and Angles (Math concept) to understand the concept of lines and angles. Read also the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes. 

Upper primary school mathematics question UPQ319

In the figure below, not drawn to scale, PQR is an equilateral triangle while WXYZ is a square. Find angle k.

 

 

 

 

Solution:

                        WXYZ is a square.

                        ∠ WZY = ∠ ZYX = 900

                        ∠ RZY = 1800 – 900 – 400 = 500

                        PQR is an equilateral triangle.

                        ∠ ZRY = 600

                        ∠ ZYR = 1800 – 600 – 500 = 700

                        ∠ k = 1800 – 900 – 700 = 200

Alternative solution:

 

 

 

 

                         Add a dotted line AB//RQ as shown

                         PQR is an equilateral triangle.

                        ∠ ZRY = 600

                        ∠ PZB = 600

                        ∠ WZB = 600 – 400 = 200

                         ZW//YK, AB//RQ

                         ∠ k = ∠ WZB = 200

    More Angles and Shapes Questions. Click here…

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