In each diagram, BD bisects <ABC. Find m<ABC

scherezade29pc 2022-07-28 Answered
In each diagram, BD bisects
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Answers (1)

nuramaaji2000fh
Answered 2022-07-29 Author has 18 answers
a)
since the angle is bisected, both smaller angles are equal
3x+17 = 7x-39
56=4x
x=14
m < a b d = 3 x + 17 = 3 ( 14 ) + 17 = 59
m < A B C = 2 59 = 118
b)
5x+16 = 8x-23
39=3x
x=13
m < a b d = 5 x + 16 = 5 ( 13 ) + 16 = 81
m < A B C = 81 2 = 162
c)
17x-10 = 11x+5
6x=15
x=2.5
m < a b d = 17 x 10 = 17 ( 2.5 ) 10 = 42.5
m < A B C = 2 42.5 = 85
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