IGCSE Mathematics Paper-1: Specimen Questions with Answers 134 - 135 of 175

Question number: 134

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A square ABCD has two diagonals, O is center. Angle ODA = . Calculate angle OAD.

A square is making four triangles in it

A Square is Making Four Triangles in It

Find the angle OAD by using given angle and logic

Explanation

Here,

As we can see in the figure AC and BD are intersecting lines in square.

Angle ADO = , as we know angle made by intersecting of diagonal is so angle AOD =

Now, in any triangle addition of all angles will give

So, in

.

Question number: 135

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In the diagram, and a line LM passing through point D. Angle . Find the angle LDB, CDM and ADL.

AB⊥CD and a line LM making an angle

AB⊥CD and a Line LM Making an Angle

Find the angle LDB by using given angle and lines

Explanation

Here, and a line LM passing through point D.

Now, Angle is given.

  • So, angles BDM and ADL are vertical angles as shown in figure, which will be always same.

So, angle

  • Now, angles BDM and CDM are complimentary angles, as shown in figure.
  • Two angles whose adding gives are called as complimentary angles.

So,

Now, , so .

So,

Thus, angle