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Step-4

Title: Constructions of angles

Grade: 10-a Lesson: S1-L4

Explanation:

Step	Type	Explanation	Answer
1	Problem	Using ruler and compass only draw angle an 231°. $4$
2	Step	Given	Construct an angle 231°
3	Step	Construct a ray OA
4	Step	Taking O as centre and convenient radius, construct an arc which cuts the ray OA at the point P.
5	Step	Taking P as centre and same radius, construct another arc which cuts the previous arc at the point Q.
6	Step	Construct OQ and extend it to the point B.
7	Step	Here, \$\angleAOB\$ is the required angle of 231°.
8		Answer	The angle which is made at point O is the required angle which is half of \$\angle AOB\$ = 231°

Step

Type

Explanation

Answer

Problem

Using ruler and compass only draw angle an 231°.
$4$

Step

Given

Construct an angle 231°

Step

Construct a ray OA

Step

Taking O as centre and convenient radius, construct an arc which cuts the ray OA at the point P.

Step

Taking P as centre and same radius, construct another arc which cuts the previous arc at the point Q.

Step

Construct OQ and extend it to the point B.

Step

Here, \$\angleAOB\$ is the required angle of 231°.

Answer

The angle which is made at point O is the required angle which is half of \$\angle AOB\$ = 231°