ZA and ZB are complementary angles. If mZA= (2x + 30)° and m ZB = (7x – 3)', then find the measure of ZB.

Step-by-step explanation:

Remember that the sum of complementary angles is always 90°.

First, finding the value of x :

Set up an equation :

( Being complementary angles )

Solve for x

{ Remove unnecessary parentheses }

{ Combine like terms }

{ Subtract 3 from 30 }

{ Move 27 to right hand side and change it's sign }

{ Subtract 27 from 90}

{ Divide both sides by 9 }

The value of X is 7°

Now, Replacing the value of x in order to find the value of B

{ Plug the value of x }

{ Multiply 7 by 7 }

{ Subtract 3 from 49 }

The measure of B is 46°

And we're done!

Hope I helped!

Best regards! :D

~TheAnimeGirl