When we bisect an angle what measure do the resulting angles get?
m∠ MNQ=m∠ PNQ=90^(∘)
Practice makes perfect
Let's first mark the points M, N, and P so that ∠ MNP is straight. We also draw segments between the points.
Let's now mark a point Q so that NQ bisects ∠ MNP.
Let's now mark the congruent angles we get when we bisect ∠ MNP.
The ∠ MNP is straight and therefore its measure is 180^(∘). When we bisect an angle the resulting angles will both have a measure, m_r, half that of the original angle. Here the resulting angles' measure is
m_r=180^(∘)/2=90^(∘).
The resulting angles are both right angles. Let's therefore remove the arcs and replace them with squares.
