Question

an angle is equal to 8times its complement angle determine it's measure

Answer 1

↑ Here is your answer ↓
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Let the angles be 'A' and 'B',

$A = 8B$

$A = 8(90^o - A)$

$A = 720^o - 8A$

Open now,

$A - 720^o + 8A = 0$

$9A - 720^o = 0$

$9A = 720^o$

$A = 720^o/9$

$A = 80^o$