X = 30 and Z = 110
Step-by-step explanation:
We know that lines h & m are || to each other (|| = Parallel)
And we know that’s the two angles on line h = 180 degrees we already know one angle which is 70 degrees
The line that goes through the || lines is called a transversal
The angle that is 70 degrees on line h and the angle (3x - 20) are called alternate angles (Alternate angles are where two angles occur on opposite sides and have the same size and each pair is equal to each other)
Let’s start by figuring out X:
We know that the alternate angle is 70 degrees, so all we have to do is have the outcome of angel (3x - 20) be 70
Step one: add an “ = 70” to the equation
- So the equation should look like this:
(3x - 20) = 70
Step Two: add 20 from each side to get x by itself
- so your equation should look like this
3x = 70 + 20
- we do this to get the x’s by themselves
Step 3: add 70 + 20
- your equation should look like this
3x = 90
Step 4: divide each side by 3
- so you equation should look like this
3x/3 = 90/3
- Solve it 3/3 is 1 and 90/3 is 30
- now your equation should look like this
X = 30
Now let’s solve for Z
Because we already know that one angle is 70 degrees we can figure out what Z is by subtracting 70 from 180 because we know that the two angles make up 180’degrees
Step one: write the equation:
- your equation should look like this
180 - 70 = ?
Step two solve your equation
- subtract 70 from 180 your equation should look like this
180 - 70 = 110