Question

Medals & fan anybody ?
Given that ÐABC is vertical to ÐDBE, use the given expressions find x and the measure of each angle.
mÐABC = 4x + 6
mÐDBE = 2x + 8
a. x = 1; 10º
b. x = 2; 10º
c. x = 1; 20º
d. x = 2; 20º

Answer 1

@mikurout

Answer 2

Vertical angles are equal.

Answer 3

so i would combine like terms right ?

Answer 4

Right, and solve for x.

Answer 5

6x+14 . correct ?

Answer 6

@JoannaBlackwelder

Answer 7

Well, you need to first set the angles equal, then combine like terms.
4x+6=2x+8

Answer 8

x=1 . correct ?

Answer 9

@JoannaBlackwelder

Answer 10

Right. :)

Answer 11

Can you figure out which answer now?

Answer 12

@JoannaBlackwelder its between a & c correct ?

Answer 13

Right.

Answer 14

You just need to figure out the measures of the angles now.

Answer 15

@JoannaBlackwelder how would i do that ?

Answer 16

Plug in x = 1 to the angle expressions.

Answer 17

so is it a ? @JoannaBlackwelder

Answer 18

Yup! :)

Answer 19

thankyou so much ! :) I APPRECIATE IT :) do you think you kan help me with a couple more ? @JoannaBlackwelder

Answer 20

No worries. :) And I can help with a couple more, but please start a new question. It gets confusing if they get too long.