Question

Can i get some help for this thanks

Answer 1

x=20, m<a=125 degrees

Explanation:

Angle A and B are going to be the same measure because of alternate interior angles. That means that 6x+5=4x+45

If you solve for x:

6x+5=4x+45

-5 -5

6x=4x+40

-4x -4x

2x=40

x=50. So, now we have figured out x. The question is asking for the exact measure of angle a. So, we just substitute with our x value.

6*20=120 and then we have to add 5. So, 125 degrees.

Answer 2

∠A=125°

Explanation:

Well since the lines are parallel, ∠B is opposite ∠A which means ∠B=∠A

`4x+45=6x+5\\45=2x+5\\40=2x\\2x=40\\x=20`

x=20°

Plugging x into the equation for ∠A.

`A=6*20+5\\A=120+5\\A=125`

∠A=125°