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# If the degree measures of two angles in a quadrilateral are 70° and 13

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Joined: 02 Sep 2009
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If the degree measures of two angles in a quadrilateral are 70° and 13  [#permalink]

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25 Feb 2019, 02:12
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Difficulty:

5% (low)

Question Stats:

93% (00:37) correct 7% (00:46) wrong based on 27 sessions

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If the degree measures of two angles in a quadrilateral are 70° and 130° and the remaining two angles are equal to each other, what is the degree measure of one of these angles?

A. 60°
B. 80°
C. 100°
D. 160°
E. 200°

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Re: If the degree measures of two angles in a quadrilateral are 70° and 13  [#permalink]

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25 Feb 2019, 03:02
Bunuel wrote:
If the degree measures of two angles in a quadrilateral are 70° and 130° and the remaining two angles are equal to each other, what is the degree measure of one of these angles?

A. 60°
B. 80°
C. 100°
D. 160°
E. 200°

70+130+2x=360
x = 80
IMO B
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Re: If the degree measures of two angles in a quadrilateral are 70° and 13  [#permalink]

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04 Mar 2019, 09:04
Bunuel wrote:
If the degree measures of two angles in a quadrilateral are 70° and 130° and the remaining two angles are equal to each other, what is the degree measure of one of these angles?

A. 60°
B. 80°
C. 100°
D. 160°
E. 200°

A quadrilateral has 360 degrees. We can create the equation:

70 + 130 + 2x = 360

2x = 160

x = 80

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Re: If the degree measures of two angles in a quadrilateral are 70° and 13  [#permalink]

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20 May 2019, 19:50
Bunuel wrote:
If the degree measures of two angles in a quadrilateral are 70° and 130° and the remaining two angles are equal to each other, what is the degree measure of one of these angles?

A. 60°
B. 80°
C. 100°
D. 160°
E. 200°

Sum of all interior angles of a quad= 360

2x + 130 +70= 360, find x.

x=80
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Re: If the degree measures of two angles in a quadrilateral are 70° and 13   [#permalink] 20 May 2019, 19:50
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