Sarin learns Shapes and Solids in school part 62 (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 presents the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can learn the skills to deal with the Math Modeling, the Math Problem Solving and the 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 Angles and Shapes.

Read the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes.

Challenge yourself with the question before look for the given solution‼!

Upper primary school mathematics question UPQ522

The figure below is not drawn to scale. HBDG is a trapezium and BEF and BDE are isosceles triangles. AC, AG and GC are straight lines. Find ∠ ABH.

UPQ522-1

Solution:

HBDG is a trapezium, HB//GDC

BF is a straight line,

∠ EFB = ∠ HBG = 400

As BEF is an isosceles triangle, EB = EF

∠ FBE = ∠ EFB = 400

∠BED = 400 + 400 = 800

Since BDE is an isosceles triangle, BE = BD

∠ BDE = ∠ BED = 800

∠ DBE = 1800 – 800 – 800 = 200

∠ ABH = 1800 – 400 – 200 – 320 – 400 = 480

 More Questions on Lines, Shapes and Angles. Click here….

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