In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, i
ntersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs. Based on this construction, m∠ABP is
°, and m∠ABC is
°.
The measure of ∠ABP and ∠ABC are 32° and 64° respectively.
<h3>what is a bisector of an angle?</h3>
Any line which divides an angle into two equal halves is a bisector of that angle.
Analysis:
Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.
