The measures of both the angles are 36 degrees and 144 degrees and this can be determined by using the concept of supplementary angles.
Given :
The ratio of two supplementary angles is 4:1.
The following steps can be used in order to determine the measures of both angles:
Step 1 - The concept of supplementary angles is used in order to determine the measures of both angles.
Step 2 - When two angles are supplementary, then their sum is 180 degrees.
Step 3 - Let the one angle be 'x' then another angle is 4x.
Step 4 - So, the value of 'x' can be calculated as:
x + 4x = 180
5x = 180
x = 36 degrees
Step 5 - Therefore, the measure of another angle is 144 degrees.
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https://brainly.com/question/2426949
