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If two lines intersect such that one of the angles formed at the inter

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If two lines intersect such that one of the angles formed at the inter [#permalink] New post   22 Dec 2022, 10:27
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If two lines intersect such that one of the angles formed at the intersection measures 20°, which of the following is the closest approximation of the product of the degree measures of all four angles formed at the intersection?

(A) \(1*10^7\)

(B) \(2*10^7\)

(C) \(4*10^7\)

(D) \(2 * 10^8\)

(E) \(4 * 10^8\)
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Re: If two lines intersect such that one of the angles formed at the inter [#permalink] New post   04 Jan 2023, 03:36
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Because one of the angles formed equals 20°, the other angles must measure 20°, 160°, and 160°


Therefore, the product of all four degree measures \(= (20)^2(i 60)^2 = 400 x 25,600 = 10,240,000\). This is very close to 10,000,000, or \(1 x 10^7\).
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Re: If two lines intersect such that one of the angles formed at the inter [#permalink] New post   28 Dec 2023, 15:00
How would you do this without a calculator. Eg, how would you figure out the number of zeros and what the first digit of the answer would be? I know there is a method for figuring that out quickly by hand, but I don't know it
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Re: If two lines intersect such that one of the angles formed at the inter [#permalink]
28 Dec 2023, 15:00
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