Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
What are congruent angles?
Congruent angles exist as two or more angles that exist identical to each other. Therefore, the measure of these angles exists equivalent to each other. The kind of angles does not create any distinction in the congruence of angles, which implies they can be acute, obtuse, exterior, or interior angles.
The Inscribed Angle Theorem states that the measure of an inscribed angle exists half the measure of its intercepted arc. Inscribed angles that intercept the exact arc exist congruent. This exists named the Congruent Inscribed Angles Theorem and exists shown below.
∠ A D B and ∠ A C B intercept, so m ∠ A D B = m ∠ A C B.
Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
To learn more about the Inscribed Angle Theorem refer to:
https://brainly.com/question/5436956
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