Pls help ty ty i really dont cant finish my geometry hw thanks

m<DEB=113°

Step-by-step explanation:

Hokay, so-

given m<ABH=67°, you know that

m<CBF=67° | verticle angles

and you know that:

m<ABF=m<CBH | verticle angles

--> 67°+67°+m<ABF+m<CBH=360°

134°+m<ABF+m<CBH=360°

m<ABF+m<CBH=226°

x+x=226°

2x=226°

x=113°

x=m<ABF=m<CBH=113°

m<BFE=m<CBF=67° | alt. interior angles

Since you are also given BE=BF, you know that BEF is an isos. triangle, meaning:

--> m<BEF=m<BFE=67°

now that you know what m<BEF is,

180°-m<BEF=m<DEB

180°-67°=m<DEB

m<DEB=113°

o

you could have skipped all that and just figured it out in the first half when you found x=113°, and see that

m<ABF=m<BFG | alt. int. angles

to realize that m<DEB=113° but I'm typing this in the middle of my geo RSM class so my brains pretty much shut off now qwq

answer: the correct answer is -32

step-by-step explanation: