Supplementary angles are two angle whose sum is equal to the 180 degrees. Supplementary angles forms linear together. The measure of angle <em>x</em> is 122. 5 degrees and the measure of angle <em>y</em> is 57. 5 degrees. The option 1 is the correct option.
<h3>Given Information-</h3>
Measures of two supplementary angles is 180 degrees.
The measure of angle <em>y</em> is 65 degrees less than the measure of angle <em>x.</em>
<h3>Supplementary angles-</h3>
Supplementary angles are two angle whose sum is equal to the 180 degrees. Supplementary angles forms linear together.
As in the given question two supplementary angles <em>x </em>and <em>y </em>are given and the sum of both the angles are equal to the 180 degrees. Thus,
The measure of angle <em>y</em> is 65 degrees less than the measure of angle <em>x. </em>Thus,
Put this value of the angle <em>y</em> in equation 1, we get,
Thus the measure of angle <em>x</em> is 122. 5 degrees.
Put this value in the equation 2 to get the value of the angle <em>y.</em>
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Thus, the measure of angle <em>y</em> is 57. 5 degrees.
Hence the measure of angle <em>x</em> is 122. 5 degrees and the measure of angle <em>y</em> is 57. 5 degrees. The option 1 is the correct option.
Learn more about the supplementary angles here;
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