35 geometry ! find the measures of w, x, y, and z. prove your answers.

w = 63; x = 86; y = 38; z = 25

Step-by-step explanation:

Find w:

117 + w = 180 (linear pair)

w = 63

Find x:

x + w + 31 = 180 (sum of measures of interior angles of triangle is 180)

x + 63 + 31 = 180

x = 86

Find y:

x + y + 56 = 180 (sum of measures of three angles equals 180 deg)

86 + y + 56 = 180

y = 38

Find z:

y + z + 117 = 180 (sum of measures of interior angles of triangle is 180)

38 + z + 117 = 180

z = 25

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~