The measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
Sum of angles in circle
The sum of angles in a circle is 360 degrees.
In other words, we can say that, the sum of the measures of the central angles of a circle with no points in common is 360 degrees.
In the given diagram, angle 1, angle 2, angle 3 and angle 4 will sum to 360 degrees.
m∠1 + m∠2 + m∠3 + m∠4 = 360⁰
another interesting to observe is that;
m∠1 = m∠3
m∠2 = m∠4
if m∠1 = 76⁰, then
m∠3 = 76⁰
m∠2 + m∠4 = 360 - (76 + 76)
m∠2 + m∠4 = 208
m∠2 = m∠4 = 208/2 = 104⁰
Thus, the measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
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