Sarin learns Shapes and Solids in school part 43 (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 Fraction, Angle and Shape.

Read the posting on Sarin learns Lines and Angles (Math concept) to understand the concept of lines and angles.

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

You can click and read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand Portion or Fraction

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

Upper primary school mathematics question UPQ343

In the figure below, not drawn to scale, ABCD is a rhombus. FG is a straight line. The size of ∠BEC is 3/5 the size of ∠ADC.
(a) Find  ∠ x.

(b) Find  ∠ y.

UPQ343-1

Solution:

            ABCD is a rhombus

            ∠ ADC = ∠ ABC = (1800 – 1150) = 650

              AE and FG are straight lines

            ∠ x = ∠ ABC + ∠ GBC = 650 + 580 = 1230

            ∠ BEC is 3/5 of fraction of ∠ ADC

UPQ343-2

 

            5 units = 650

            1 unit = 130

            ∠ BEC = 3 × 130 = 390

             FG is a straight line

             ∠ GBE = 1800 – 1230 = 570

             ∠ y = 1800 – 580 – 570 – 390 = 260

More Questions on Shapes and Angles. Click here….

More Questions on Fraction. Click here…. 

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