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Math Expert
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Re: Two adjacent angles of a parallelogram are in the ratio of 2:3. What [#permalink]
Bunuel wrote:
Two adjacent angles of a parallelogram are in the ratio of 2:3. What is the average angle measure of these two angles?

A. 30.
B. 40.
C. 45.
D. 90.
E. 180.


5x=180
x=36
avg ; 72+108/2 ; 90
IMO D
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Re: Two adjacent angles of a parallelogram are in the ratio of 2:3. What [#permalink]
Bunuel wrote:
Two adjacent angles of a parallelogram are in the ratio of 2:3. What is the average angle measure of these two angles?

A. 30.
B. 40.
C. 45.
D. 90.
E. 180.


Sum of all the angles of parallelogram = 360 deg
Let angles are in ratio 2x:3x

So total sum of angles \(= 2x * 2 + 3x * 2 = 10x\)
Therefore \(10x = 360\)
\(x = 36\)

Now average measure of 2x and 3x \(= \frac{(2 *36 + 3 * 36)}{2} = 90\)

Answer (D).
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Re: Two adjacent angles of a parallelogram are in the ratio of 2:3. What [#permalink]
Bunuel wrote:
Two adjacent angles of a parallelogram are in the ratio of 2:3. What is the average angle measure of these two angles?

A. 30.
B. 40.
C. 45.
D. 90.
E. 180.


Since sum of 2 angles = 180
average = 180/2 = 90

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Re: Two adjacent angles of a parallelogram are in the ratio of 2:3. What [#permalink]
Expert Reply
Bunuel wrote:
Two adjacent angles of a parallelogram are in the ratio of 2:3. What is the average angle measure of these two angles?

A. 30.
B. 40.
C. 45.
D. 90.
E. 180.


Two adjacent angles in a parallelogram will always equal 180, so the average is 90.

Answer: D
GMAT Club Bot
Re: Two adjacent angles of a parallelogram are in the ratio of 2:3. What [#permalink]
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