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The measure of angle 1 is 65⁰, measure of angle 2 is 25⁰ and the measure of angle 3 is 70⁰.
The value of the missing angles is calculated by applying the following equation as shown below.
According to intersecting chord theorem, the angle formed by the intersection of two chords at the circumference is equal to half of the angles of the arc.
The arc angle ED = 130⁰
angle 1 is the angle formed by the intersection of the two chords with arc ED.
∠1 = ¹/₂ x 130⁰
∠1 = 65⁰
The value of angle 2 is calculated as;
∠1 + ∠2 = 90⁰ (complementary angles)
∠2 = 90 - ∠1
∠2 = 90 - 65
∠2 = 25⁰
The value of arc DB = 140⁰
angle 3 is opposite are DB, so the value of angle 3 is calculated as;
∠3 = ¹/₂ x 140⁰
∠3 = 70⁰
Learn more about intersecting chord angles here: https://brainly.com/question/23732231
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