Question

Help Please
Find the values of x, y, and z. The diagram is not to scale.

Answer 1

@jim_thompson5910

Answer 2

@Hero

Answer 3

first find x

Answer 4

if you're not sure how, remember that the three angles of any triangle must add to 180 degrees

Answer 5

ok dont you do 63 + 36 = 99 then 180 - 99 = 81

Answer 6

but thats just x i dont know how to find z and y

Answer 7

that is x, yes

Answer 8

notice how the 36 and 13 degree angles combine to form a larger angle

Answer 9

they are part of the largest triangle

Answer 10

yes

Answer 11

i see

Answer 12

that should help you find y

Answer 13

then what else

Answer 14

alternatively, you can use the value of x to find z

Answer 15

that might be easier to see

Answer 16

ok

Answer 17

x and z are a linear pair of angles (they are adjacent and supplementary)

Answer 18

so,

x+z = 180

Answer 19

you just found that x = 81

Answer 20

oh i understand

Answer 21

so what is z?

Answer 22

180-81=99

Answer 23

correct

Answer 24

ok thx

Answer 25

np