Question

$find \: the \: supplement \: of \: \frac{7}{8} \: right \: angle$
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Answer 1

Answer:

315/2.

Step-by-step explanation:

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Answer 2

$\huge \tt\underline \green{given : - }$

$\sf \: First \: angle = \frac{1}{8} \: right \: angle \\ \sf \: i.e$

$\: \: \: \: \: \: \: \angle 1 = \frac{1}{8} \times 90° \\ \\ \implies \sf \angle1 = \frac{7}{4} \times 45° \\ \\ \implies \angle1 = \frac{315°}{4}$

$\sf \: we \: have \: to \: find \: the \: supplement \: of \: \angle1$

$\sf \: let \: \angle2 \: be \: the \: supplement \: of \: \angle1$

$\sf \: A \: per \: the \: \blue{property \: of \: supplementary \: angles \: the \: sum } \\ \blue{ \sf \: of \: the \: angles \: is \: \ }180°$

$\sf \: i.e \: \angle1 + \angle2 = 180°$

$\: \: \: \: \: \sf \: putting \: value \: of \: \angle1.$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \: \frac{315}{4} + \angle2 = 180$

$\implies \tt \: \angle2 =1 80 - \frac{315}{4}$

$\implies \tt \: \angle2 = \frac{180 \times 4 - 315}{4}$

$\implies \tt \: \angle2 = \frac{720 - 315}{4}$

$\implies \tt \: \angle2 = \frac{405}{4}$

$\implies \tt \: \angle2 = \frac{810}{8}$

$\implies \tt \: \angle2 = \frac{90 \times 9}{8}$

$\implies \tt \angle2 = \frac{9}{8} \times 90°$

$\tt \underline\orange{\:So, the\: supplement\: angle\: is\: \angle2= \frac{9}{8} \: right \: angle. }$