Please answer this! TY! It has to do with inscribed angles. Solve b-e. ### Geometry Problem: Angle Measurements in a Circle**Question 21.**Determine the measures of the following angles and arcs in the given circle diagram:**a.** \( m \angle A \) **b.** \( m \overset{\frown}{CE} \) **c.** \( m \angle C \) **d.** \( m \angle D \) **e.** \( m \angle ABE \)**Diagram Explanation:**The diagram depicts a circle with center \(O\). Five points, labeled \(A\), \(B\), \(C\), \(D\), and \(E\), are on the circumference of the circle. The points are connected in such a way that they form several triangles inside the circle. Key features and marked angles include:- \(\angle ABD\) is marked as \(25^\circ\).- Two angles \(\angle ADC\) and \(\angle AEC\) are marked as \(80^\circ\).### Analyzing the DiagramFrom the given diagram, here are the key observations:- \( \angle ABD \) is an inscribed angle that intercepts arc \(AD\).- \( \angle ADC \) and \( \angle AEC \) indicate that they are parts of intersecting chord angles.### Definitions and Theorems to Use1. **Inscribed Angle Theorem:** An inscribed angle is half the measure of the intercepted arc.2. **Angle Formed by Intersecting Chords:** The measure of an angle formed by two intersecting chords is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.3. **Sum of Angles in a Circle:** The total measure of angles around a point (such as the center of the circle) is \(360^\circ\).Using these principles, the values for the requested angles and arcs can be calculated.

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Answered: 21. a. m/A b. m CE c. m/C d. m/D e.…

Math

Trigonometry

21. a. m/A b. m CE c. m/C d. m/D e. m/ABE A 80° B 80° 25° 0 E D

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 40CT: To determine the angle of elevation of a star in the sky, you align the star and the top of the...

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Name: Bel MaRtioe2-Mele der. Date: Unit 3: Parallel & Perpendicular Lines 9-13-20 Bell: Homework 2: Angles & Parallel Lines ** This is a 2-page document! ** 1. If mZ8 = 23°, find the measure of each missing angle. Give your reasoning. a. m21 = \ Alt extu or b. mZ2 = 23 C. m23 = 157° AH intesine d. m24 = 23 e. m25 = 157° intere. f. m26 = 23 Solve the follown g. m27 = 15° lorrispadiy 2. If mZ9 = 97° and mZ12 114°, find the measure of each missing angle. a. m21 = 970 b. m22 = a70 f. m26 = k. m2 8. 12 11 2.3 g. m27 = 1. ma 5 6 16 15 C. m23 = h. m28 = m. m 9 10 13 14 d. m24 = i. m210 = n. т l140 m(11 =