Question

Mathematics NSC Term 2: Assignment QUESTION 1 1.1 In the diagram, ABCD is a cyclic quadrilateral in the circle centered at O. ED is a tangent to the circle at D. Chord AB is produced to F. Radii OC and OD are drawn. $hat{ADE} = 40^circ$ and $hat{C}_2 = 65^circ$. Determine, giving reasons, the size of each of the following angles: 1.1.1 $hat{D}_2$ 1.1.2 $hat{FBC}$

          Mathematics
NSC
Term 2: Assignment
QUESTION 1
1.1 In the diagram, ABCD is a cyclic quadrilateral in the circle centered at O. ED is a tangent to the circle at D. Chord AB is produced to F. Radii OC and OD are drawn. $hat{ADE} = 40^circ$ and $hat{C}_2 = 65^circ$.
Determine, giving reasons, the size of each of the following angles:
1.1.1 $hat{D}_2$
1.1.2 $hat{FBC}$

Mathematics
NSC
Term 2: Assignment
QUESTION 1
1.1 In the diagram, ABCD is a cyclic quadrilateral in the circle centered at O. ED is a tangent to the circle at D. Chord AB is produced to F. Radii OC and OD are drawn. hatADE = 40^circ and hatC2 = 65^circ.
Determine, giving reasons, the size of each of the following angles:
1.1.1 hatD2
1.1.2 hatFBC

Added by Charles

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Breanna Ollech

05/25/2024

Step 1

- $ \mathrm{ABCD} $ is a cyclic quadrilateral, meaning its vertices lie on the circumference of a circle centered at $ \mathrm{O} $. - $ \mathrm{ED} $ is a tangent to the circle at $ \mathrm{D} $. - $ \mathrm{AB} $ is extended to $ \mathrm{F} $. - \( Show more…

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