escalantesilvia escalantesilvia
  • 03-10-2017
  • Mathematics
contestada

A and B are vertical angles. If A = 4x - 10 and B = 6x - 30, find mA.

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choixongdong
choixongdong choixongdong
  • 03-10-2017
vertical angles
m<A = m<B
so
4x - 10 = 6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10

m<A = 
4x - 10
m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30

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altavistard
altavistard altavistard
  • 04-10-2017
If A and B are vertical angles, then A = B.  Thus, 4x - 10 = 6x - 30, and 10 = x.  Check:  Does 4(10) - 10 = 6(10) - 30?  Does 30 = 30?  YES.  So x = 10 is correct.  The measure of angle A is 30 degrees.
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