Using ruler and compasses only, draw an angle of measure $135^{\circ}$ .

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Solution

Steps of construction :

(i) Draw a line DC and take a point B on it.

(ii) With centre B and a suitable radius draw an arc meeting BC at P.

(iii) With centre P, cut off arcs PQ, QR and RS.

(iv) Bisect QR at T and join BT.

(v) Now bisect the arc KS at L.

(vi) Join BL and produce it to A.

Now $∠ A B C = 135^{\circ}$ .

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Question 87

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Using ruler and compasses only, draw an angle of measure 135∘.

Using ruler and compasses only, draw an angle of measure $135^{\circ}$ .