Recall that if the chords are congruent then their corresponding arcs are also congruent.
122.5^(∘)
Practice makes perfect
We are given that Angie wants to make a pair of triangular earrings from a metal circle. She wants to cut two equal parts off so AB=BC. Let's sketch a diagram of this situation.
Now recall that if the chords are congruent then their corresponding arcs are also congruent. This means that mAB is also x^(∘).
Next notice that the sum of the measures of arcs in a circle is always equal to 360^(∘). Using this information, we can write an equation.
mAB+mAC+mBC=360
x+ 115+ x=360
Let's solve the above equation for x.
