Seudónimo Seudónimo
  • 23-05-2021
  • Mathematics
contestada

A and B are supplementary angles. If m A = (x + 15)° and m
ZB = (x – 13), then find the measure of ZB.

Respuesta :

blooregardqkazoo1138 blooregardqkazoo1138
  • 23-05-2021

Answer:

76 degrees

Step-by-step explanation:

We know that supplementary angles equal 180 degrees. So, set up the equations:

[tex]180=(x+15)+(x-13)\\[/tex]

[tex]180=(2x+2)\\[/tex]

[tex]178=2x[/tex]

[tex]x=89\\[/tex]

Then, you just plug 89 back into ZB, and simplify:

[tex](89-13)\\[/tex]

[tex]=76[/tex]

So, the measurement of angle ZB is 76 degrees.

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