aletadaboss
aletadaboss aletadaboss
  • 23-02-2019
  • Mathematics
contestada

Find a of this angle.

Find a of this angle class=

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PTCharm
PTCharm PTCharm
  • 23-02-2019

In a triangle, the total angle is 180 degrees. A straight line is always 180 degrees. With this in mind, the following can be obtained:

[tex]a + 2x + {57}^{o} = {180}^{o} \\ 5x + a = {180}^{o} [/tex]

These are simultaneous equations.

[tex]a + 2x + {57}^{o} = 5x + a \\ 3x = {57}^{o} \\ x = {19}^{o} \\ 5x + a = {180}^{o} \\ 5( {19}^{o} ) + a = {180}^{o} \\ a = {85}^{o} [/tex]

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eleahh
eleahh eleahh
  • 23-02-2019
A is 85 ° because 2x is 38, 38 + 57 is 95 ° and 180-95 is 85 °
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