Question Number 157965 by Tawa11 last updated on 30/Oct/21
Commented by Tawa11 last updated on 30/Oct/21
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\mathrm{shaded}\:\mathrm{angles}. \\ $$
Answered by mr W last updated on 31/Oct/21
Commented by Tawa11 last updated on 31/Oct/21
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}. \\ $$
Commented by mr W last updated on 31/Oct/21
$${blue}\:{angles}\:{are}\:{related}\:{to}\:{the}\:{yellow} \\ $$$${circle}. \\ $$$${now}\:{look}\:{at}\:{the}\:{green}\:{angles}\:{which} \\ $$$${are}\:{related}\:{to}\:{the}\:{black}\:{circle}.\:{we} \\ $$$${have}\:\left(\beta+\gamma\right)=\mathrm{2}\gamma. \\ $$$${it}\:{follows}\:\beta=\gamma. \\ $$$${sum}\:{of}\:{shaded}\:{angles}\:=\alpha+\gamma \\ $$$$\:\:\:\:\:=\alpha+\beta=\mathrm{45}° \\ $$
Commented by mr W last updated on 31/Oct/21
$${answer}\:{correct}\:{as}\:{in}\:{book}? \\ $$
Commented by Tawa11 last updated on 02/Nov/21
$$\mathrm{No}\:\mathrm{answer}\:\mathrm{there}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{just}\:\mathrm{follow}\:\mathrm{your}\:\mathrm{steps} \\ $$