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In th triangle ABC, the measure of angle A is 25° and the m

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In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 02 Feb 2017, 07:52
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In the triangle ABC, the measure of angle A is 25° and the measure of angle B is greater than 90°. Which of the following could be the measure of angle C?

Indicate all such measures.

A) 12 degrees

B) 15 degrees

C) 45 degrees

D) 50 degrees

E) 70 degrees
[Reveal] Spoiler: OA

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Re: In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 12 Feb 2017, 15:34
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Explanation

SUPPLY a number for angle B. Since B > 90°, B can be anything greater than 90° (like 90.0009°), but start with the lowest possible integer, B = 91° to make calculations easier:

Image

A + B + C = 180°
25° + 91° + C =180°
C = 64°

Now imagine if B were at the other extreme—as large as possible. :

Image

A + B + C = 180°
25° + B + C =180°
B + C =155°
If B = 154°, then C = 1°

Angle C can be anything less than 65 degrees, so the first four answers are possible values of C.

Hence options A, B, C and D are correct.

[Reveal] Spoiler: Img
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di.jpg
di.jpg [ 10.21 KiB | Viewed 11626 times ]
Attachment:
di new.jpg
di new.jpg [ 6.94 KiB | Viewed 11285 times ]

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Re: In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 23 Mar 2018, 11:03
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Absolutely. It is from the official software.

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Re: In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 25 Mar 2018, 10:30
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ejanlagreslayer wrote:
Sometimes I wonder if these kind of questions can be on the actual test



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Re: In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 05 Apr 2018, 02:30
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since angle B is greater than 90; A+C<90 because sum of three angles of a traingle is 180.
so C<90-A==> C<65. options A,B,C,D satisfy this condition.
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Re: In th triangle ABC, the measure of angle A is 25° and the m [#permalink] New post 24 May 2018, 09:51
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Third angle < 180-(25+90)
Third angel < 65

Answer: A B C D
Re: In th triangle ABC, the measure of angle A is 25° and the m   [#permalink] 24 May 2018, 09:51
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In th triangle ABC, the measure of angle A is 25° and the m

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