find-x-

Question Number 104877 by M±th+et+s last updated on 24/Jul/20

f i n d x

Answered by ajfour last updated on 24/Jul/20

Commented by M±th+et+s last updated on 24/Jul/20

w e l l d o n e s i r

Commented by ajfour last updated on 24/Jul/20

\frac{π}{2} + α + \frac{2 π}{5} = π \Rightarrow α = \frac{π}{10}

β = \frac{1}{2} (\frac{π}{2} + α) = \frac{3 π}{10}

\sin ϕ = \frac{a / 2}{a} \Rightarrow ϕ = \frac{π}{6}

ϕ + β = π - 2 x

\Rightarrow x = \frac{π}{2} - \frac{β}{2} - \frac{ϕ}{2}

= 90 ° - 27 ° - 15 °

\Rightarrow x = 48 ° .

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