Question

Can someone please explain to me how to find x when Im only given one degree of the angle?

Answer 1

My answer had been 26 as you can see in the screenshot but it says X actually was 17 degrees

Answer 2

180-(28+58+77)=?

Answer 3

With any triangle, the angles must add to 180 degrees

we have 28 degrees as one angle
(58+77) = 135 as another angle

so

28+135+x = 180

solve for x

Answer 4

Of course! Im sorry so would the same apply to this other problem too? @surjithayer @jim_thompson5910

Answer 5

The (23+x) angle and the 79 degree angle are known together as "same side interior angles"

if you have parallel lines, like we do here, the same side interior angles add to 180 degrees

so

(23+x) + 79 = 180

Answer 6

so it's somewhat similar, yes

Answer 7

@surjithayer @jim_thompson5910 Okay those both make sense. I went over them again with the way you guys solved them. I just don't understand why this third problem for x why wasn't it 33? They are congruent to each other?

Answer 8

x+33+87=180

Answer 9

Okay, I see what I was doing wrong I was thinking that the line that goes down the middle of it was somehow many them two separate triangles but now I understand how I should be solving these. Thank you very much guys!

Answer 10

same question

Answer 11

so you'll have

(x+33) + (87) = 180

Answer 12

@jim_thompson5910 @surjithayer Okay I see, thank you so much for the extra explanations and drawings! I really appreciate it :)

Answer 13

yw