Mathematic Question
- Dalam Rajah 3, CDE ialah tangen kepada bulatan berpusat O pada titik D .
In Diagram 3 , CDE is a tangent to the circle with the centre O at point D.
Cari nilai x.
Find the value of x.
A 15^{\circ}
C 70^{\circ}
B 35^{\circ}
D 85^{\circ}
Mathematics Solution
Let the small angle beside x be called as y.
Using the Circle’s Theorem, the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle’s circumference
1. Angle at AOD (center) should be twice the angle at ABD, hence Angle ABD = 35°
2. Outer angle of AOD = 360° - 70° = 290°.
3. The quadrilateral, ABDO has a total internal angle of 360°.
4. y (small angle beside x) is equal to 360° - 290° - 35° - 15° = 20°
5. Since CDE is a tangent to the circle, Angle ODE = 90°. Therefore, x = 90° - 20° = 70°.
Therefore, the answer is C. 70°.