Does anyone know the answer to this question? Or at least a way to solve it?

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

8 0

From the fact that the two horizontal lines are parallel, you can deduce <A=<B

so you can equate the two right-hand sides of the equations:

6x+12=3x+63 and solve for x

3x = 51

x= 17 degrees is the measure <A (and <B as well)

laiz [17]3 years ago

5 0

Since angle A = Angle B, I believe you would write it out like this:
6x+12=3x+63
subtract 3x from both sides, then subtract 12 from both sides.
3x=51
divide 51 by 3 to find x.
x=17
Now to find the measure of angle A.
A = 6(17)+12
A = 102+12
A = 114, angle A is 114 degrees.

You might be interested in

Determine the measure of each indicated angle. Show all necessary steps!

Mariana [72]

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

<h3>What is the sum of all the angles of a regular polygon?</h3>

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.