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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Constructions of angles

Grade: 10-a Lesson: S1-L4

Explanation:

Step	Type	Explanation	Answer
1	Problem	What are the steps to construct an angle of 35°.+ $3$
2	Step	Given	Construct an angle of 35°
3	Step	Sketch an AB ray. Draw an arc with any radius that passes through A and AB at C
4	Step	We draw an arc with C as the centre and the same radius that cuts the first arc at D. We then create an arc with D as the centre and the same radius that cuts the first arc at E.
5	Step	We draw two arcs with the same radius and centres at E and D intersecting at F. Draw a line AF. Line AF and line segment AB intersect at a 90∘ angle.
6	Step	Mark the line AF’s intersection with the semicircular arc as G in step 4. Draw two arcs again, cutting each other at H, using G and D as the centres. We now join AH. HAB is 35 angle°
7	Step	Answer	Here, \$\angle HAB\$ is the required angle of 35°

Step

Type

Explanation

Answer

Problem

What are the steps to construct an angle of 35°.+ $3$

Step

Given

Construct an angle of 35°

Step

Sketch an AB ray. Draw an arc with any radius that passes through A and AB at C

Step

We draw an arc with C as the centre and the same radius that cuts the first arc at D. We then create an arc with D as the centre and the same radius that cuts the first arc at E.

Step

We draw two arcs with the same radius and centres at E and D intersecting at F. Draw a line AF. Line AF and line segment AB intersect at a 90∘ angle.

Step

Mark the line AF’s intersection with the semicircular arc as G in step 4. Draw two arcs again, cutting each other at H, using G and D as the centres. We now join AH. HAB is 35 angle°

Step

Answer

Here, \$\angle HAB\$ is the required angle of 35°