In isosceles triangle PQR, if the measure of angle P is 80, : PS Archive
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# In isosceles triangle PQR, if the measure of angle P is 80,

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SVP
Joined: 14 Dec 2004
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In isosceles triangle PQR, if the measure of angle P is 80, [#permalink]

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04 Mar 2006, 11:39
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In isosceles triangle PQR, if the measure of angle P is 80Âº, which of the following could
be the measure of angle R?

I. 20Âº
II. 50Âº
III. 80Âº

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
Intern
Joined: 08 Jan 2006
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04 Mar 2006, 12:24
vivek123 wrote:
In isosceles triangle PQR, if the measure of angle P is 80Âº, which of the following could
be the measure of angle R?

I. 20Âº
II. 50Âº
III. 80Âº

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

E.

Isosceles triangle 2 angles are equal. that gives us 2 possibilities:
PQR is a 80, 80, 20 triangle
PQR is a 50, 50, 80 triangle

Since we do not know if R is one of the equal angles, it can take the values 20, 50 or 80.
SVP
Joined: 14 Dec 2004
Posts: 1702
Followers: 3

Kudos [?]: 137 [0], given: 0

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06 Mar 2006, 08:47
OA too for "E"
06 Mar 2006, 08:47
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