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Question-226409




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
α+90^0 +70^0 =180^0   ⇒α=20^0   β=90^0 ⇒γ=270^0   60^0 +γ+α+θ=360^0 ⇒θ=10^0   θ+90^0 +φ=180^0   ⇒φ=80^0
$$\alpha+\mathrm{90}^{\mathrm{0}} +\mathrm{70}^{\mathrm{0}} =\mathrm{180}^{\mathrm{0}} \\ $$$$\Rightarrow\alpha=\mathrm{20}^{\mathrm{0}} \\ $$$$\beta=\mathrm{90}^{\mathrm{0}} \Rightarrow\gamma=\mathrm{270}^{\mathrm{0}} \\ $$$$\mathrm{60}^{\mathrm{0}} +\gamma+\alpha+\theta=\mathrm{360}^{\mathrm{0}} \Rightarrow\theta=\mathrm{10}^{\mathrm{0}} \\ $$$$\theta+\mathrm{90}^{\mathrm{0}} +\phi=\mathrm{180}^{\mathrm{0}} \\ $$$$\Rightarrow\phi=\mathrm{80}^{\mathrm{0}} \\ $$$$ \\ $$
Answered by mr W last updated on 27/Nov/25
Commented by mr W last updated on 27/Nov/25
x+90°+130°+60°=2×180°  ⇒x=80°
$${x}+\mathrm{90}°+\mathrm{130}°+\mathrm{60}°=\mathrm{2}×\mathrm{180}° \\ $$$$\Rightarrow{x}=\mathrm{80}° \\ $$
Commented by fantastic2 last updated on 27/Nov/25
good method
$${good}\:{method} \\ $$
Commented by hardmath last updated on 01/Dec/25
thankyou dearprofessor
$$\mathrm{thankyou}\:\mathrm{dearprofessor} \\ $$

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