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m∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary.

A.12°
B.14°
C.8°
D.10°

Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S supplementary angles add up to 180 degrees

Respuesta :

Answer:

d) 10°

Step-by-step explanation:

The sum of supplementary angles always equal 180°.

Since two angles are supplementary, the two angles must add up to equal 180°. Angles A and B are known, so the equation is as follows.

[tex]A + B = 180\\(6x + 4) + (10x + 16) = 180\\\\[/tex]

Rearrange and combine like terms:

[tex]6x + 10x + 16 + 4 = 180\\16x + 20 = 180\\[/tex]

Isolate x:

[tex]16x = 180 - 20\\16x = 160\\x =10[/tex]
B 14 because it adds up to 180