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# If the sum of two angles of a parallelogram is 100°, what is the avera

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Math Expert
Joined: 02 Sep 2009
Posts: 42247

Kudos [?]: 132657 [1], given: 12331

If the sum of two angles of a parallelogram is 100°, what is the avera [#permalink]

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28 Sep 2017, 23:50
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84% (00:28) correct 16% (00:24) wrong based on 36 sessions

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If the sum of two angles of a parallelogram is 100°, what is the average (arithmetic mean) of the measures of the other two angles?

(A) 50
(B) 90
(C) 130
(D) 180
(E) 260
[Reveal] Spoiler: OA

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Kudos [?]: 132657 [1], given: 12331

Intern
Joined: 28 Sep 2017
Posts: 24

Kudos [?]: 2 [1], given: 5

Location: India
Concentration: Technology, General Management
GPA: 3.5
WE: Information Technology (Computer Software)
Re: If the sum of two angles of a parallelogram is 100°, what is the avera [#permalink]

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29 Sep 2017, 02:02
1
KUDOS
sum of two angles of a parallelogram is 100°
so sum of the other two angle should be (360-100)/2 = 130
So mean should be (130+130)/2 = 130

Answer should be C

Kudos [?]: 2 [1], given: 5

Director
Joined: 22 May 2016
Posts: 979

Kudos [?]: 337 [1], given: 591

If the sum of two angles of a parallelogram is 100°, what is the avera [#permalink]

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29 Sep 2017, 14:01
1
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Bunuel wrote:
If the sum of two angles of a parallelogram is 100°, what is the average (arithmetic mean) of the measures of the other two angles?

(A) 50
(B) 90
(C) 130
(D) 180
(E) 260

The sum of interior angles of a quadrilateral is 360 degrees.

Though we are not sure which two angle measures sum to 100, we are asked only for the average (arithmetic mean) of the other two.

There are (360 - 100) = 260 degrees that remain, and two angles.

$$\frac{260}{2}$$ = 130

Kudos [?]: 337 [1], given: 591

Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1684

Kudos [?]: 902 [0], given: 5

Re: If the sum of two angles of a parallelogram is 100°, what is the avera [#permalink]

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03 Oct 2017, 16:34
Bunuel wrote:
If the sum of two angles of a parallelogram is 100°, what is the average (arithmetic mean) of the measures of the other two angles?

(A) 50
(B) 90
(C) 130
(D) 180
(E) 260

A parallelogram’s angles always sum to 360 degrees. If the sum of two angles of a parallelogram is 100 degrees, then the remaining 2 angles must sum to 260 degrees, and so the average of those two angles is 260/2 = 130 degrees.

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Kudos [?]: 902 [0], given: 5

Re: If the sum of two angles of a parallelogram is 100°, what is the avera   [#permalink] 03 Oct 2017, 16:34
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