kayakreynolds kayakreynolds

03-11-2021
Mathematics

contestada

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ZA and ZB are supplementary angles. If mZA = (3x – 12)° and m
ZB = (4x – 25)°, then find the measure of ZB.

Respuesta :

jimrgrant1 jimrgrant1

03-11-2021

Answer:

∠ B = 99°

Step-by-step explanation:

Supplementary angle sum to 180°

Sum A and B and equate to 180

3x - 12 + 4x - 25 = 180 , that is

7x - 37 = 180 ( add 37 to both sides )

7x = 217 ( divide both sides by 7 )

x = 31

Then

∠ B = 4x - 25 = 4(31) - 25 = 124 - 25 = 99°

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