The measurement of angle x is 52° and y is 38°
Step-by-step explanation:
Let us define supplementary and complementary angles first.
Supplementary angles is pair of angles whose sum is 180°
While complementary angles sum up to 90°
Given
That x and y are complementary and x is supplementary to 128.
This means that sum of x and 128 is 180°
So,
[tex]x+128 = 180\\x = 180-128\\x = 52[/tex]
So,
x = 52°
It is also given that x and y are complementary which means that
[tex]x+y = 90\\52+y = 90\\y = 90-52\\y = 38[/tex]
Hence,
The measurement of angle x is 52° and y is 38°
Keywords: Supplementary angles, complementary angles
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