Question

Construct a kite GAME in which GA=AM=8cm,ME=GE=10 cm and angle G=45​

Answer 1

Therefore $GAME$ is the required kite.

Step-by-step explanation:

Given;

Construct a kite $GAME$ where $GA=AM=8cm$,$ME=GE=10cm$ and $\angle G=45$degree

∵ Kite look like a rhombus, So opposite angle also equal.

∴ $\angle G=\angle M=45$

So,

$2\angle G+2\angle A=360$

⇒$2\angle A=360-90$

⇒$\angle A=\frac{270}{2}$

∴ $\angle A=135=\angle E$

Following steps;

• Draw a line $GA=8cm$
• At point $G$,draw an angle $45degree$ and extend it like $GC$
• At point $A$, draw an angle $135degree$ and extend it like $AB$
• Take measurement $8cm$ and cuts at $M$ from point $A$

• Take measurement $10cm$ and cuts the line $GC$ at point $E$

• Join the point $M$ and $E$

Now $GAME$ is the required kite.