at least 4 different angles are present
Answer:
16,999,283
Step-by-step explanation:
9514 1404 393
Answer:
(2) 72°
Step-by-step explanation:
In this geometry, the angle at the tangent is half the measure of the intercepted arc.
∠CBD = (arc BD)/2 = 144°/2
∠CBD = 72°
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<em>Additional comment</em>
Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.
As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.
Answer: a). 136 degree. b). A kite
Explanation:
360 = POR + OPT + ORT + 44
OPT = ORT = 90 (line TP and TR tangent to the circle)
360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136
B). OPTR is a kite because OP = OR and TP = TR
Definition of a kite:
A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.