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ABC is isosceles and angle ABC =55
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25 Aug 2020, 10:41
25 Aug 2020, 10:41
Expert Reply
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Question Stats:
71% (00:37) correct
28% (00:28) wrong based on 49 sessions
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\(\triangle ABC\) is isosceles and \(\angle ABC =55°\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The sum of the measures of the two angles of \(\triangle ABC\) that have equal measure |
\( 115°\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: ABC is isosceles and angle ABC =55
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25 Aug 2020, 10:42
25 Aug 2020, 10:42
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: ABC is isosceles and angle ABC =55
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25 Aug 2020, 12:49
25 Aug 2020, 12:49
2
We need more information to know whether quantity A is greater or not.
Indeed, the fact that ABC is an isoceles triangle only tells us that two angles (the "base angles") are equal. Two cases arise:
- Either the two equal angles both have value of 55°, then the sum of the two angles that have equal measure is 105° thus A<B
- Or the angle with measure 55° is not one of the base angles, and the two equal angles have another measure. To find the measure of the angle, denoted by x, we know that the sum of the three angles is 180. So the three angles verify: 2x+55°=180 that is 2x=125. Then A>B.
So we cannot conclude.
Indeed, the fact that ABC is an isoceles triangle only tells us that two angles (the "base angles") are equal. Two cases arise:
- Either the two equal angles both have value of 55°, then the sum of the two angles that have equal measure is 105° thus A<B
- Or the angle with measure 55° is not one of the base angles, and the two equal angles have another measure. To find the measure of the angle, denoted by x, we know that the sum of the three angles is 180. So the three angles verify: 2x+55°=180 that is 2x=125. Then A>B.
So we cannot conclude.
