Question

Find the measure of an angle,thebsum of whose complement and supplement equals 100°

Answer 1

Answer:

let the measure of angle be x

complement : 90-x

supplement : 180-x

90-x+180-x=100

270-2x=100

-2x=100-270

2x=170

x=85⁰

Answer 2

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${\sf{let \: the \: measure \: of \: angle e}} ≈ x$

${ \sf{complement \: 90 -}}x$

${\sf{supplement \: = 180-}}x$

• $90 - x + 180 - x= 100$

• $270 - 2x = 100$

• $2x = 100 - 270$

• $2x = 170$

• $x = \frac{170}{2} = 85 \degree$