Question

Two supplementary angles differ by 8°.find the angles

Answer 1

hey

let the two angles be x and y
x + y = 180 ............. (1)

x - y = 8 .............(2)

(1) + (2)

x + y + x - y = 180 + 8
2x = 188
x = 188/2
x = 94°

sub x in (1)
x + y = 180
94 + y = 180
y = 180 - 94
y = 86°

so the two angles are 94° and 86°

Answer 2

$\boxed{\boxed{\mathbf{86 ; 94}}}$
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$\textsf{Let the common ratio be}$ $\textbf{x}$

$\textsf{Then, the angles will be}$ $\textbf{x}$ and $\textbf{x-8}$

$\underline{\textsf{We know that,}}$

[Sum of Supplementary Angles = 180°]

=> $\mathsf{x + x - 8 = 180}$

=> $\mathsf{2x - 8 = 180 }$

=> $\mathsf{2x = 188 }$

=> $\mathsf{x = \frac{188}{2}}$

=> $\boxed{\large\mathsf{x = 94 \textdegree}}$

=> $\mathsf{x - 8 = 94 - 8}$

=> $\boxed{\large\mathsf{86 \textdegree}}$

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Hence, the Angles are 86° and 94° .