Question

Find m∠ABC.

Answer 1

@Vocaloid

Answer 2

these are vertical angles
so as usual, solve for x, plug it back into m<ABC

Answer 3

would it be 90 degrees or 180 degrees? @Vocaloid

Answer 4

please review the definitions of vertical angles, right angles, and straight angles

Answer 5

@Vocaloid so 180?

Answer 6

look at your picture to see which diagram best represents your situation

Answer 7

notice, how, in your original problem, you have an X-shape with two angles across from each other

now take a look at the three diagrams I posted. which one looks most like that?

Answer 8

the first one?

Answer 9

good. use the diagram as a guide to solve the problem.

Answer 10

notice what the diagram tells you.

the two angles across from each other on the x-shape are equal.

try to apply this logic to your problem.

Answer 11

180/2=90?

Answer 12

notice how A = B
apply this logic to the shape on the left

Answer 13

6x-7=4x+23?

Answer 14

perfect

now solve for x, and find m<BAC

Answer 15

*m<ABC

Answer 16

15?

Answer 17

almost

that's the value of x

take a look at the diagram to find out what m<ABC should be

Answer 18

@Vocaloid I don't understand

Answer 19

look at your problem

what is the value of m<ABC?

Answer 20

what is the angle formed by the points A, B, and C?

Answer 21

obtuse?

Answer 22

notice how I found the points A, B, and C, and see how the angle I circled is m<ABC?

so now, using your x-value, find m<ABC

Answer 23

what is m?

Answer 24

m means you are looking for the measure of an angle

Answer 25

m<ABC = "what is the degree measure of ABC?"

Answer 26

if you are still confused, please refer to the problems we did before, you were doing it fine before

Answer 27

@Vocaloid in the earlier problems, I was doing it like" (6x-7)+(4x+23)=90(or 180)

Answer 28

https://questioncove.com/study#/updates/5c514467473b276bb7a45000

Answer 29

it's exactly like this one

Answer 30

@Vocaloid 83?

Answer 31

good