Answer:
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Explanation:
<em>See above</em><em> </em><em>explanation</em>
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you have to use intercept theorem, also known as Thales's theorem to slove this problem
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
The central angle of arc BC is 35 degrees. So,
The central angle of arc CD is 50 degrees. So,
The central angle of a complete circle is 360 degrees. So,
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
let's recall that corresponding angles are equal, thus 105° twins, also let's recall that a flat-line has 180°.
since the two sides stemming from Ɣ are twins, the angles they make at the base are also twins, bearing in mind that a triangle has a sum of all interior angles of 180°.
