In theis diagram AB=AC angle A = 40 degree and BD is perpendicular to AC at D. how many degrees are there in angle DBC?

In theis diagram AB=AC angle A = 40 degree and BD is perpendicular to AC at D. how many degrees are there in angle DBC? Correct Answer 20 degree

△ABC এ AB = AC,∠B = ∠C∴∠A + ∠B + ∠C = 180∘⇒∠B + ∠C = 180∘ - 40∘⇒∠B + ∠C = 140∘⇒2∠B = 140∘∴∠B = 70∘ = ∠CAgain, △ABD এ ∠ADB = 90∘∠A = 40∘∴∠DBA = 180∘ - 90∘ - 40∘ = 50∘ ∴∠DBC = ∠ABC - ∠DBA = 70∘ - 50∘ = 20∘

Related Questions

There are 2 clocks A and B. The angle between minutes and hour hand of the clock A is x degrees and that between hands of clock B is y degrees. The sum of x and y is 180 degrees and difference between x and y is 40 degrees. If time on clock A is between 2 and 3 and on clock B is between 4 and 5, which of these is correct time combination of both clocks?