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Lesson Example Discussion Quiz: Class Homework

Step-2

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 115°. $2$
2	Step	Given	Construct an angle of 115°
3	Step	Draw a ray AB. With A as the center and any width as radius, draw an arc cutting AB at C.
4	Step	With C as the center and the same radius, we draw an arc cutting the first arc at D and, with D as the center and the same radius, draw another arc cutting again the first arc at G.
5	Step	With D and G as centers and with the same radius, we draw two arcs cutting each other at F. Join AF which is making 90°. Mark the point where the semicircular arc cuts the line AF as E.
6	Step	With G and E as centers and with the same radius draw two arcs cutting each other at H. Now join the points A and H. \$\angle HAB\$ = 115°.
7		Answer	Here, \$\angle HAB\$ is the required angle of 115°

Step

Type

Explanation

Answer

Problem

What are the steps to construct an angle of 115°.
$2$

Step

Given

Construct an angle of 115°

Step

Draw a ray AB. With A as the center and any width as radius, draw an arc cutting AB at C.

Step

With C as the center and the same radius, we draw an arc cutting the first arc at D and, with D as the center and the same radius, draw another arc cutting again the first arc at G.

Step

With D and G as centers and with the same radius, we draw two arcs cutting each other at F. Join AF which is making 90°. Mark the point where the semicircular arc cuts the line AF as E.

Step

With G and E as centers and with the same radius draw two arcs cutting each other at H. Now join the points A and H. \$\angle HAB\$ = 115°.

Answer

Here, \$\angle HAB\$ is the required angle of 115°