Question

Please help asap with this question!! :)

Answer 1

x = 14, y = 37

Explanation:

The angle vertically opposite (4y-10) is also a corresponding angle to (9x + 12) so that means that angles (4y-10) and (9x+12) are equal.

4y-10 = 9x+12 -----Equation 1

You also know that (4y-10) and 3x add up to 180° since they both lie on a straight line.

4y-10+3x = 180 -----Equation 2

From the above equation, I'm going to isolate (4y-10) so that I know a value that I can substitute in Equation 1.

4y-10 = 180-3x -----Equation 3

Substitute 4y-10 = 180-3x into Equation 1.

4y-10 = 9x+12

180-3x = 9x+12

Put the like terms together.

180-12 = 9x+3x

Evaluate.

12x = 168

Find x.

x = 168 ÷ 12

x = 14

Subsitite x = 14 into Equation 3.

4y-10 = 180-3x

= 180-3(14)

= 180-42

= 138

Isolate 4y.

4y = 138+10

= 148

Find y.

y = 148 ÷ 4

y = 37

Answer 2

Explanation:

3x + 9x +12 = 180 {linear pairr}

12x + 12 =180

12x = 180 - 12

12x = 168

x = 168/12

x = 14

3x = 3*14 = 42

4y - 10 + 3x = 180 {linear pair}

4y - 10 + 42 = 180

4y + 32 =180

4y = 180 - 32

4y = 148

y = 148/4

y = 37