how do i solve ?

Question

Given  is 

Find the value of x.  x =  

Answer 1

Since you have expressions that give you the measures of angle ABD and DBC, you can set up a simple equation and solve for X.

(2x + 17) + (x + 5) = 103

Now you should be able to solve for x.

Answer 2

Hi Jason,

Given  is 

watch the problem then you see this angle ABC includes 2 angles ABD and DBC

so < ABC = <ABD + <DBC

103 = 2x + 17 + x + 5 Now you need to solve this equation

103 = 3x + 22 both side minus 22

81 = 3x both side divided by 3

27 = x

now you can find the angles ABD and DBC by replacing x=27

it means <ABD = 2(27) +17 = 71 degree AND <DBC = 27 + 5 = 32 degree

add of them = 71 + 32 = 103 that it was given angle

I hope it is useful,

Minoo

Answer 3

Use the fact that the measure of angle ABC is equal to the measure of angle ABD plus the measure of angle DBC.