Question

Given A and B are vertical angles with m∠A = 20x + 10 and m∠B = 30x – 10. What is x? 3.6 4 2 9

Answer 1

Answer:

Step-by-step explanation:

∠A and ∠B are vertical => ∠A=∠B

20x+10=30x-10

20x-30x= -10-10

-10x= -20

x= -20 / -10 = 20 / 10 = 2

x=2

Good luck!

Answer 2

Answer:

2

Step-by-step explanation:

Ok remember this because its going to appear alot in geometry. Vertical angles are ALWAYS congruent and congruent means when two things are equal/ are the same.

If angle a and b are vertical angles what does that mean?

they are CONGRUENT!

you know A = 20x+ 10 and B= 30x-10

so you can write it as

20x+10 = 30x-10

because Angle A and B equal each other

then get the variable by itself so subtract -20x on both sides

10 = 10x-10

then add 10 to both sides which is

20 = 10x

and divide 10 on both side and 20 divided by 10 is 2

so 2 =x

which is the same as x =2