Question

Jack draw an angle that is 27 out of 36 of a circle.What is the measure of the angle in degrees

Answer 1

let's recall that a circle has a total of 360°.

now, Jack drew "27 out of 36", namely 27/36.

what's 27/36 of 360°?  well, is simply their product.

$\bf \cfrac{27}{36}\cdot 360\implies 27\cdot \cfrac{360}{36}\implies 27\cdot 10\implies 270$