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# Two adjacent angles of a parallelogram are in the ratio of 2:3. What

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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
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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 $$= \frac{(2 *36 + 3 * 36)}{2} = 90$$

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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]
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.