A concert organizer recorded the number of people in different age groups who attended a concert. She then created the following histogram: Histogram with title Concert Attendance, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60

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eriter659

02.01.2021

Mathematics

a = b = c = 45°

Step-by-step explanation:

$In\: \triangle BDC, \\\\BD = CD.... (given) \\\\\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\\therefore a\degree = b\degree.... (1)\\\\m\angle BDC= 90\degree \\\\\because m\angle BDC + a\degree + b\degree=180\degree \\\\90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\2a\degree=180\degree -90\degree\\2a\degree= 90\degree\\\\\therefore a\degree=\frac{ 90\degree}{2} \\\\\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\\implies \huge\red {\boxed { b\degree=45\degree}} \\\\In\: \triangle ABC, \\\\AB = BC.... (given) \\\\\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\\therefore c\degree = b\degree\\\\\because b\degree=45\degree \\\\\implies \huge\orange {\boxed { b\degree=45\degree}} [$

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