Question

I need help with questions 9,10,11,12 and like 5 more please help

Answer 1

9) b and 50 are supplementary angles so the sum is equal to 180°. So:

`\begin{gathered} b+50=180 \\ solve\text{ for b} \\ b+50-50=180-50 \\ b=130 \end{gathered}`

Answer 9: b = 130°

10) They are opposite angles at the vertex, which means that they have equal measure. Then:

`b=43`

Answer 10: b = 43°

11) We know that a complete angle measures 360° therefore:

`\begin{gathered} b+96+209=360 \\ simplify \\ b+305=360 \\ solve\text{ for b} \\ b+305-305=360-305 \\ b=55 \end{gathered}`

Answer 11: b = 55°

12) These are complementary angles so the sum is equal to 90°. Therefore:

`\begin{gathered} b+63=90 \\ solve\text{ for b} \\ b+63-63=90-63 \\ b=27 \end{gathered}`

Answer 12: b = 27°