Angle A is supplementary to angle Z. Angle Z is 4 less than seven times angle A. Write the equations and find the value for angle A and angle Z.

Answer 1

Hi Mikaylah Rowe B

A = 23

Z = 157

You are given

A + Z = 180

And Z = 7A - 4

Since

A + Z = 180

Z also = 180 - A

So

180 - A = Z

7A - 4 = Z

We can set the Z equations equal to each and solve for A as follows:

7A - 4 = 180 - A

Combine like terms on both sides of the equations

7A + A = 180 + 4

8A = 184

Divide both sides by 8

A = 23

Go back to the original equations and substitutions given to check the results

Z = 7A - 4 = 180 - A

Z = 7(23) - 4 = 180 - 23

Z = 161 - 4 = 157

Z = 180 - 23 = 157

And of course

23 + 157 = 180

I hope you find this useful there are several ways to do it, in fact you can try a system of equations by elimination or substitution to check this.

Give that a try

If you have any questions please send me a message