Question

find the value of x
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Answer 1

Answer:

x = 12

Step-by-step explanation:

angle BAC = 3x+20

angle ACB = 4x

AD is a straight line so, angle ABD = 180°

angle ABD = angle ABC + angle CBD

angle ABC = angle ABD - angle CBD

= 180-(10x-16)

= 180-10x+16

= 196-10x

we know that sum of three angle of a triangle is 180°

angle BAC+angle ACB+angle ABC = 180

=> 3x+20+4x+196-10x = 180

=> 7x-10x+216 = 180

=> -3x = 180-216

=> -3x = -36

=> 3x = 36

=> x = 12

Answer 2

Answer:

the value of x is 12 units

Step-by-step explanation:

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