You are given that angle ghj is a complement of angle rst and angle rst is a supplement of angle abc. let the measurement of angle ghj be x°. what is the measure of angle abc?

the measure of ∠ABC = (90 + x)°

Step-by-step explanation:

It has been given that ∠GHJ is complementary angle of ∠RST.

So ∠GHJ + ∠RST = 90°(1)

∠RST is a supplement of ∠ABC.

Then ∠ABC + ∠RST = 180° (2)

If ∠GHJ = x° then we have to find the measure of ∠ABC.

By subtraction equation (1) from (2)

(∠ABC + ∠RST) - (∠GHJ + ∠RST) = 180 - 90

∠ABC - ∠GHJ = 90°

Now we put ∠GHJ = x°

∠ABC - x = 90°

∠ABC = (90 + x)°

Therefore, the measure of ∠ABC = (90 + x)°

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb