Question

In the figure below, BM is the bisector of AMC. Which is the value of each angle?
Answers:

25

20

35

10

Answer 1

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Answer 2

when a line "bisects" and angle then what does it do to that angle?

do you know what "bisect" means?

Answer 3

it means to divide in two parts

Answer 4

/almost/ - look here: https://www.mathsisfun.com/definitions/bisector.html

can you tell me now what it means?

Answer 5

The line that divides something into two equal parts.

Answer 6

correct - the key here is "equal"

Answer 7

so in your diagram you know that the angles BMC and AMB must be equal

Answer 8

set the two equations equal to one another and solve to find \(x\)

Answer 9

ok

Answer 10

let me know what you get

Answer 11

i really dont know

Answer 12

you need to solve this:\[x+25=3x+5\]

Answer 13

and i have to try to make their answer equal right?

Answer 14

you need to solve the equation I typed above - that will give you a value for \(x\)

do you know how to solve such equations?

Answer 15

my answer was 10

Answer 16

that is correct. now use this value for \(x\) in any one of the expression, i.e. replace \(x\) with \(10\) in either one of these equations:\[x+25\]\[3x+5\]in either case you should get the same result - tell me what you get

Answer 17

10+25 = 250
3*10+5=35

Answer 18

you got the first one wrong - I think you calculated \(x\times25\) instead of \(x+25\)

Answer 19

oh opps my mistake

Answer 20

their both equal to 35

Answer 21

perfect! so now you know that \(x=10\) is the correct solution as it leads to both angles being equal and you have also calculated what that angle is equal to. well done :)

Answer 22

yup ty!

Answer 23

yw :)