Answer:
The larger angle is 127 degrees
Step-by-step explanation:
Given
Represent the two angles with a and b
[tex]a = 2b - 201[/tex]
Required
Determine a and b
Since a and b are supplementary, then:
[tex]a + b = 180[/tex]
Substitute 2b - 201 for a
[tex]2b - 201 + b = 180[/tex]
Collect Like Terms
[tex]2b + b = 180 + 201[/tex]
[tex]3b = 381[/tex]
[tex]b = 381/3[/tex]
[tex]b = 127[/tex]
Recall that
[tex]a = 2b - 201[/tex]
[tex]a = 2 * 127 - 201[/tex]
[tex]a = 254- 201[/tex]
[tex]a = 53[/tex]
Hence:
The angles are 53 and 127 degrees, respectively
