<PRE><B>Question 946934</B>

Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles.

What does ratio 4:5 mean? How do we set up the problem to solve for the angles?
&lt;pre&gt;A ratio of 4:5 signifies 4 + 5, or 9 parts
Adjacent angles of a parallelogram are congruent

&lt;b&gt;&lt;u&gt;Method 1:&lt;/b&gt;&lt;/u&gt;
Therefore, smaller angle is: {{{(4/9) * 180}}}, and larger angle is: {{{(5/9) * 180}}}, or {{{180 - (4/9) * 180}}}
&lt;b&gt;&lt;u&gt;OR&lt;/b&gt;&lt;/u&gt;
&lt;b&gt;&lt;u&gt;Method 2:&lt;/b&gt;&lt;/u&gt;
Equation: 4x + 5x = 180
Solve for x, the multiplicative factor
Multiply value of x by 4 to get smaller angle
Multiply value of x by 5, or subtract smaller angle from 180 to get larger angle
Both methods should provide same results.</PRE>