ZA and ZB are supplementary angles. If mZA = (x + 6) and m ZB = (7x +30)°, then find the measure of ZA.

za=24

Step-by-step explanation:

supplementary angles add up to equal 180

180=7x+x+30+6

step 1 combine like terms

180=8x+36

step 2 subtract 36 from each side

144=8x

step 3 divide each side by 8

x=18

now we just plug in 18 to x in x+6

18+6=24

24°

Step-by-step explanation:

The sum of supplementary angles is 180°.

Thus, we can set up our equation as:

(x + 6) + (7x + 30) = 180

Combine like terms.

8x + 36 = 180

Isolate the variable by subtracting 36 from both sides.

8x = 144

Divide both sides by 8.

x = 18

Now, let's revisit the equation for m∠ZA, and plug in our x.

((18) + 6)°

24°

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