SirKnight SirKnight

23-06-2020
Mathematics

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in each diagram the line BD bisects angle ABC. Find the measure of angle ABC

in each diagram the line BD bisects angle ABC Find the measure of angle ABC class=

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mhanifa mhanifa

23-06-2020

Answer:

80°

Step-by-step explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

∠ABD=∠CBD

2x+20°= 4x
2x=20°
x=10°

∠ABC= 2*4x= 8x= 80°

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