Question

PLEASE ANSWER QUICKLY ASAP
READ THE QUESTION CAREFULLY PLEASE ​

Answer 1

140°

Explanation:

total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °

Answer 2

140°

Explanation:

We know that all of these angles here are part of a hexagon, meaning that their angle measures will all add up to 720°.

We can use what we already know and find what CDE and DEF will add up to.

`145+90+160+115=510\\720-510=210`

Now, assuming x is the measure of DEF, we can create an equation for this.

`x + 2x = 210\\3x = 210\\x = 70`

This is the measure of DEF, but it asks for CDE, which is twice the size of DEF. So

`70\cdot2=140`

We can double check this is right by adding up all the measures.

`145+90+160+115+140+70=720`

Hope this helped!