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Sagot :

Answer:

[tex]m\measuredangle8=110^o[/tex]

Explanation:

The angles 4 and 8 are equal; therefore,

[tex]m\measuredangle8=m\measuredangle4[/tex][tex]3x+20=x+80[/tex]

Subtracting x from both sides gives

[tex]2x+20=80[/tex]

Subtracting 20 from both sides gives

[tex]2x=80-20[/tex][tex]2x=60[/tex]

Finally, dividing both sides by 2 gives

[tex]\boxed{x=30.}[/tex]

With the value of x in hand, we now find the measure of angle 8.

[tex]m\measuredangle8=x+80[/tex][tex]m\measuredangle8=30+80[/tex][tex]\boxed{m\measuredangle8=110^o\text{.}}[/tex]

Hence, the measure of angle 8 is 110.

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