You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expens
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Answer:
Step-by-step explanation:
Given information: The perpendicular bisector of side AB of ∆ABC intersects the extension of side AC at D, m∠CBD = 16° and m∠ACB = 118°.
Let the measure of ∠ABC is x°.
In triangle ABD, DM is perpendicular bisector of AB.
In triangle ADM and BDM,
(Definition of perpendicular bisector)
(Definition of perpendicular bisector)
(Reflection property)
By SAS postulate,
(CPCTC)
According to angle sum property of a triangle, the sum of interior angles of triangle is 180°.
In triangle ABC
Subtract 134 from both sides.
Divide both sides by 2.
Therefore, the measure of ∠ABC is 23°.
