If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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109° as an icoloces triangle (you can tell by the two lines) has 2 identical angels so the two bottom angels are the same and the angels on a straight line add up to 180°
Answer:
The answer to your question is:
Step-by-step explanation:
Statement Reason
1.- ---- ----
2.- m∠1 + m∠2 = 180° -----
3.- ----- -----
4.- ------ Definition of bisector
5.- m∠1 + m∠3 = 180° Substitution property of equality
6.- ----- -----
Answer:
two lines in the same plane called parallel - b.