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What is m angles ABD in the figure shown?
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What is m angles ABD in the figure shown?

What is m angles ABD in the figure shown?-example-1
User Kaffee Bohne
by
4.4k points

1 Answer

6 votes

Answer:

∠ ABD = 19°

Explanation:

Since AB and BC are congruent, then Δ ABC is isosceles and the base angles are congruent, that is

∠ BAD = ∠ BCD = 71° , thus

∠ ABC = 180° - (71 + 71) ← angle sum of triangle

∠ ABC = 180° - 142° = 38°

DB is an angle bisector , thus

∠ ABD = 0.5 × 38° = 19°

User Kjetilh
by
4.1k points
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