Question

PLEASE ANSWER QUICKLY ASAP READ THE QUESTION CAREFULLY PLEASE ​

Answer 1

Answer:

140°

Step-by-step 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

Answer:

140°

Step-by-step 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!