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a side of the triangle below has been extended to form an exterior angle of 66 degrees. find the value of x

A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 66 Degrees Find The Value Of X class=

Sagot :

Let's use the exterior angle theorem here, which states that the sum of two opposite interior angles is equal to the sum of the exterior angle.

Therefore, we have:

x + 19 = 66

Let's solve for x.

Subtract 19 from both sides:

x + 19 - 19 = 66 - 19

x = 47°

ANSWER:

x = 47°

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