ANSWER

EXPLANATION
Method 1
Vertically opposite angles are equal, therefore

This implies that,

We simplify to get,

Dividing through by 3 gives,

Also,

This implies that,

We simplify the right hand side to get,

We divide both sides both sides by 2 to get,



Method 2
Angles on straight line sums to 180°.

This implies that,




Also,






Answer:It is equal to 2/3
Step-by-step explanation:
Answer:
(64/5)π units²
Step-by-step explanation:
The area of this sector would be:
Given central angle
------------------------------ *(area of whole circle)
2π rad
In this case, the area of the sector is:
(8/5) π rad
------------------------------ * π(4 units)^2
2π rad
and this reduces to:
(4/5) * π*16 units² or (64/5)π units²