Use a pair of compasses and construct the following angles: 105^

Question

Use a pair of compasses and construct the following angles: $105^\circ $

✓

Answer

Steps of Construction:
$1.$Draw a ray $OA.$
$2.$With $O$ as centre and any suitable radius draw an arc cutting $OA$ at $B.$
$3.$With $B$ as centre and same radius cut the previous arc at $C$ and then with $C$ as centre and same radius cut the arc at $D.$
$4.$With $C$ as centre and radius more than half $CD$ draw an arc.
$5.$With $D$ as centre and same radius draw another arc to cut the previous arc at $E.$
$6.$Join $OE$. Also join $OD$ and produce it to $F.$
$7.$Draw the bisector $OG$ of $\angle\text{EOF}.$
Thus, $\angle\text{AOG}=105^\circ$ is the required angle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Constructions→Constructions — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

Draw a line segment of length $10\ cm.$ Divide it into four equal parts. Measure each of these parts.

→

Name the points and then the line segments in each of the following figures:

→

Match the following columns on whole numbers:

S.No.	Column A	S.No.	Column B
$(a)$	$137 + 63 = 63 + 137$	$(i)$	Associativity of multiplication
$(b)$	$(16 \times 25)$ is a number	$(ii)$	Commutativity of multiplication
$(c)$	$365 \times 18 = 18 \times 365$	$(iii)$	Distributive law of multiplication over addition.
$(d)$	$(d) (86 \times 14) \times 25 = 86 \times (14 \times 25)$	$(iv)$	Commutativity of addition
$(e)$	$23 \times (80 + 5) = (23 \times 80) + (23 \times 5)$	$(v)$	Closure property for multiplication