I don't think that I am setting the last one up correctly. Each time I try solving it, I get a negative answer. The others I'm confused on. Please help. Thanks!

Guest Oct 1, 2019

#1**0 **

The last one: the two angles encompass the entire circle 360^{0}

^{ remember, inscribed angles in a circle intercept arcs TWICE their measure}

^{2 * (2x + 4x+24) = 360}

^{x = 26}

^{sooo EFC =4x +24 = 4*26 + 24 = 128 degrees}

ElectricPavlov Oct 1, 2019

#2**+1 **

First one

Central angles EAJ and EKJ span the same arcs as their measure

So....angle EKJ will span an arc of 360 - 168 = 192°

Second one

This one is similar to the first

Since arc QRT =198°

Then arc QAT = angle QAT = 360 - 198 = 162°

Last one

Quadrilateral DEFC is a cyclic quadrilateral.....opposite angles will sum to 180°

So...The sum of angles EDC and EFC = 180°

So

2x + (4x + 24) = 180

6x + 24 = 180 subtract 24 from both sides

6x = 156 divide both sides by 6

x = 26

So...angle EFC = (4(26) + 24) = 128°

CPhill Oct 1, 2019