Question

FIND THE MEASURE OF EACH ANGLE <1 and <2 are suplementary, <2 and <3 are supplementary, and m<2= 32 degrees.

Answer 1

Here is a sketch of these angles:

∠1 and ∠2 are supplementary, meaning they add up to 180 degrees; therefore, we have

`\measuredangle1+32^o=180^o`
`\measuredangle1=180^o-32^o`
`\textcolor{#FF7968}{\therefore\measuredangle1=148^o}`

∠2 and ∠3 are complematry, meaning they add up to 90 degree; therefore,

`\measuredangle3+32^o=90^o`
`\measuredangle3=90^o-32^o`
`\textcolor{#FF7968}{\therefore\measuredangle3=58^o}`

Hence, ∠1 = 148° and ∠3 = 58°