Question Number 226409 by hardmath last updated on 27/Nov/25

Answered by fantastic2 last updated on 27/Nov/25

Commented by fantastic2 last updated on 27/Nov/25

$$\alpha+\mathrm{90}^{\mathrm{0}} +\mathrm{70}^{\mathrm{0}} =\mathrm{180}^{\mathrm{0}} \\ $$$$\Rightarrow\alpha=\mathrm{20}^{\mathrm{0}} \\ $$$$\beta=\mathrm{90}^{\mathrm{0}} \Rightarrow\gamma=\mathrm{270}^{\mathrm{0}} \\ $$$$\mathrm{60}^{\mathrm{0}} +\gamma+\alpha+\theta=\mathrm{360}^{\mathrm{0}} \Rightarrow\theta=\mathrm{10}^{\mathrm{0}} \\ $$$$\theta+\mathrm{90}^{\mathrm{0}} +\phi=\mathrm{180}^{\mathrm{0}} \\ $$$$\Rightarrow\phi=\mathrm{80}^{\mathrm{0}} \\ $$$$ \\ $$
Answered by mr W last updated on 27/Nov/25

Commented by mr W last updated on 27/Nov/25

$${x}+\mathrm{90}°+\mathrm{130}°+\mathrm{60}°=\mathrm{2}×\mathrm{180}° \\ $$$$\Rightarrow{x}=\mathrm{80}° \\ $$
Commented by fantastic2 last updated on 27/Nov/25

$${good}\:{method} \\ $$
Commented by hardmath last updated on 01/Dec/25

$$\mathrm{thankyou}\:\mathrm{dearprofessor} \\ $$