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Using the sketch below and the fact that ∠A + ∠B + ∠C + ∠D = 325, Determine m∠E.
a. 81°
b. 35°
c. 25°
d. 75°
b. The addition of the measures of the exterior angles of any polygon is 360°. Thus, if the sum of four of the ?ve angles similar 325, to determine the fifth simply subtract 325 from 360, which equals 35. If you select a, you divided 325 by 4, considering all four angles are equal in measure and assigned this value to the ?fth angle, ∠E.
Find the value of x if 2x + 1, x 2 + x +1, 3 x 2 - 3 x +3 are consecutive terms of an AP. Ans: a 2 -a 1 = a 3 -a 2 ⇒ x 2 + x + 1-2 x - 1 = 3x 2 - 3x + 3- x
2
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