Answer:
If the measure of BEC is (2x+3) and x=30, which expression could represent the measure of AED?
(3x-27) will represent the measure of AED.
Step-by-step explanation:
Given:
Measure of [tex]\angle\ BEC=(2x+3)[/tex]
The value of 'x' = [tex]30[/tex]
We have to find the expression which could represent the measure of [tex]\angle\ AED[/tex].
Measure of [tex]\angle\ BEC = \angle\ AED[/tex] (vertically opposite angle property).
Lets measure the numeric value of [tex]\angle\ BEC[/tex] by plugging the value of 'x' in the expression given.
⇒ [tex](2x+3)[/tex]
⇒ [tex]2(x) + 3[/tex]
⇒ [tex]2(30)+3[/tex]
⇒ [tex](2\times 30) +3[/tex]
⇒ [tex]60+3[/tex]
⇒ [tex]63[/tex]
Now plugging the value of 'x' in the expressions given in the options we have to check whether any of the expression is equivalent to [tex]63[/tex] or not.
⇒ [tex](3x-27)[/tex]
⇒ [tex]3(30)-27[/tex]
⇒ [tex](3\times 30)-27[/tex]
⇒ [tex]90-27[/tex]
⇒ [tex]63[/tex]
So (3x-27) is the appropriate choice.
