The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-16)
43°
109°

Question

03-01-2021
Mathematics

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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-16)
43°
109°

Sagot :

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TomasTidn TomasTidn · Answer 1 · 2021-01-03T19:18:35-05:00

TomasTidn TomasTidn

03-01-2021

Answer: x = 11 degrees

Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
=28
Now to solve for x we have the equation
4x-16=28
We add 16 to both sides to isolate x
4x=44
Now we divide each side by 4 to get rid of the coefficient
x=11

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Sagot :

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