Question

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

Answer 1

80°

Explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

• ∠ABD=∠CBD

• 2x+20°= 4x
• 2x=20°
• x=10°

∠ABC= 2*4x= 8x= 80°