Question

If the measure of is and x = 30, which expression could represent the measure of ?

Answer 1

b (3x-27)

Explanation:

Answer 2

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.

Explanation:

Given:

Measure of
`\angle\ BEC=(2x+3)`

The value of 'x' =
`30`

We have to find the expression which could represent the measure of
`\angle\ AED`.

Measure of
`\angle\ BEC = \angle\ AED` (vertically opposite angle property).

Lets measure the numeric value of
`\angle\ BEC` by plugging the value of 'x' in the expression given.

⇒
`(2x+3)`

⇒
`2(x) + 3`

⇒
`2(30)+3`

⇒
`(2* 30) +3`

⇒
`60+3`

⇒
`63`

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
`63` or not.

⇒
`(3x-27)`

⇒
`3(30)-27`

⇒
`(3* 30)-27`

⇒
`90-27`

⇒
`63`

So (3x-27) is the appropriate choice.