Based on the theorem of intersecting chord, the measure of arc AC is: D. 150°.
By critically observing the diagram shown below, we can logically deduce the following information;
- The measure of the internal angle made by intersecting of chords is 90°.
- The measure of the minor arc is 30°.
Mathematically, the internal angle subtended by two arcs can be calculated by using this formula;
Internal angle = (minor arc + major arc)/2
Let the variable x represent the major arc AC.
90 = (30 + x)/2
180 = 30 + x
x = 180 - 30
AC = x = 150°
Complete Question:
What is the measure of AC?
А. 120°
в. 90°
с. 30°
D. 150°