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Draw an angle of 135∘ and bisect it.

Draw an angle of 135∘ and bisect it.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
20 days ago
First draw a line AB and taking O as center and a radius (whatever is convenient), mark an arc. Now draw two arcs that are intersecting each other above point O and join the point to O. Then we will draw the bisector of ∠ROA named OD which will make ∠DOB=135∘ . Then draw the bisector of this newly drawn angle. Complete step-by-step answer: We have to draw a given angle and bisect it. So the steps of construction of angle of 135∘ are given as- 1.First we will draw a line AB and take its middle point as O. The line is given as- 2.Now taking O as center and a radius (whatever is convenient, suppose 4 cm) , mark an arc which will intersect the line AB at P and Q. The diagram is given as- 3.Now taking P and Q as centers and radius more than half the length of PQ, draw two arcs that are intersecting each other above point O at R. 4.Then join the points O and R. This makes ∠ROB=∠ROA=90∘ 5.Now we will draw the bisector of ∠ROA named OD. This bisector will divide the angle into two equal parts so each angle will become 45∘ and then we can get, ∠DOB=∠DOR+∠ROB=90∘+45∘=135∘. To draw the bisector first mark points P and T. Then by taking P and T as centers and radius more than half the length of PQ, draw an arc. Name the point of their intersection D and join OD. 6.Now we also have to bisect this angle so we will draw the bisector OE which bisects the angle 135∘ into two equal parts using the process in step five. This is the required diagram. Note: We can also draw the angle of 135∘ by using a protractor. Follow these steps- 1.First follow step one given in the question then place the protractor on point O so that the line OB and protector line coincide. 2.Mark point D on the angle 135∘ and join OD. 3.Then draw the bisector of the angle using the process of step five given in the question.

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