Question

can someone help

Answer 1

The question is...?

Answer 2

with what?

Answer 3

the ` a ` and ` 30 degree ` angles are called ` vertical angles `
what do you know about vertical angles?

Answer 4

each of the pairs of opposite angles made by two intersecting lines.

Answer 5

yes, that is google's definition

I would recommend looking at the picture options of "vertical angles", it might be more helpful sometimes

Answer 6

ok

Answer 7

so for my question i just need to find out what the measures of angles a, b, and c

Answer 8

how do i do that ?

Answer 9

yes, vertical angles are equal to each other

a and 30 are vertical angles

Answer 10

what is a equal to?

Answer 11

so a is = to 30?

Answer 12

yes :)

Answer 13

how di i find what b is equal to ?

Answer 14

a, b, and the 90 degree angles make a triangle

the angles in a triangle should always add up to 180 degrees

Answer 15

we already know that ` a = 30 `
so this means that

a + b + 90 = 180
then

30 + b + 90 = 180

what would b equal?

Answer 16

would i do 180 + 180?

Answer 17

nope...

What can I add to 30 + 90 to get 180?

Answer 18

60

Answer 19

nice :)

Answer 20

so b=60

Answer 21

yes

Answer 22

ok and how do i find c?

Answer 23

c and the 75 degree angle are a "linear pair"

Answer 24

linear pairs will always add up to equal 180 degrees

Answer 25

what numbers would i add?

Answer 26

c + 75 = 180

Answer 27

c=105 ?

Answer 28

you got it