Answer:

Step-by-step explanation:
The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,

Substitute,

Inverse operations,



Answer:
3
Step-by-step explanation:
look for the greatest exponent
Answer:
x = 6
∠B = 126
Step-by-step explanation:
∠A = ∠B
where
∠A = 8x + 78°
∠B = 2x + 114°
8x + 78° = 2x + 114°
8x - 2x = 114 - 78
6x = 36
x = 36/6
x = 6
plugin x into ∠B = 2x + 114°
∠B = 2x + 114°
∠B = 2(6) + 114°
∠B = 126
R = 34x - (4x + 180)
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A acute angle is an angle that is less than 90 degrees but larger than 0 degrees.