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31 votes
Find a b and c ??????

Find a b and c ??????-example-1
User Zeronone
by
2.3k points

1 Answer

6 votes
6 votes

Answer:

a = 70 degrees

b = 20 degrees

c = 20 degrees

Explanation:

First, we can find "c":

angleBCA = 90

angleBCA = angleBCD + c

90 = 70 + c

90 - 70 = c

20 = c

Knowing "c", we can find "a".

angleADC = 90

triangleADC = 180

triangleADC = angleADC + c + a

180 = 90 + 20 + a

180 = 110 + a

180 - 110 = a

70 = a

Knowing "a", we can find "b".

angle BCA = 90

triangleACB = 180

triangleACB = angleBCA + a + b

180 = 90 + 70 + b

180 = 160 + b

180 - 60 = b

20 = b

User Rzrelyea
by
3.2k points