Question

Two supplementary angles are in ratio5:7?

Answer 1

`75^\circ, 105^\circ`

Explanation:

Let the supplementary angle be `5x` & `7x` then their sum will be equal to `180^\circ`

`\therefore 5x+7x=180`

`12x=180`

`x=\frac{180}{12}=15`

hence, the angles are `5\times 15=75^\circ` & `7\times15=105^\circ`

Answer 2

`75^@" and "105^@`

Explanation:

`"supplementary angles sum to "180^@`

`"sum the parts of the ratio "5+7=12" parts"`

`(180^@)/12=15^@larrcolor(blue)" 1 part"`

`5" parts "=5xx15^@=75^@`

`7" parts "=7xx15^@=105^@`

`"the supplementary angles are "75^@" and "105^@`