Question

if x = 55° then find the complementary supplementary and conjugate angles supplementary of x ​

Answer 1

Question:-

➺if x = 55° then find the complementary supplementary and conjugate angles supplementary of x .

Given:-

➺x = 55

To Find:-

⇒complementary

⇒supplementary

⇒conjugate angle supplementary of x.

Analysis:-

➺sum of complementary angles = 90°

➺sum of supplementary angles = 180°

➺sum of conjugate angles= 360°

Solution:-

$\sf⟼ complementary \: angle \: of \: x = 90 = 55 \: \: \: \: \: \: \: \: \\ \\ \sf⟼complementary \: angle \: of \: x = 35 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \purple {\boxed{ \blue{ \: \: \: \: \: \therefore \: complement \: \: \: \: of \: \: \:\: \: x = 35 \: \: }}} \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf⟼supplement \: of \: angle \: x= 180 - 55 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf⟼supplement \: of \: \: angle \: x = 125 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \\ \\ \purple {\boxed{ \blue{ \: \: \: \: \: \therefore \: supplement \: \: \: \: of \: \: \:\: \: x = 125 \: \: }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf ⟼conjugate \: of \: supplement \: of \: x = 360 - 125 \\ \\ \sf⟼conjugate \: of \: supplement \: of \: x = 235 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \purple {\boxed{ \blue{ \: \: \: \: \: \therefore \:conjugate \: of supplement \: \: \: \: of \: \: \:\: \: x = 235 \: \: }}}$

hope this helps.!