In the figure, 0 is the centre of the circle ABC, < CE...
In the figure, 0 is the centre of the circle ABC, < CED = 30o, < EDA = 40o. What is the size of < ABC?
70o
110o
130o
125o
145o
Correct answer is D
If < CED = 30º, and < EDA = 40º then
<EOD = 180-(30-40) (angles in a triangle sum to 180) → 110º
<AOC = <EOD = 110º
At centre O: 360 - 110 = 250º
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference.
250 * \(\frac{1}{2}\) → 125º
<ABC = 125º
Similar Questions
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?...
If x is positive, for what range of values of x is 4 + 3x < 10?...
Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0...
In a class of 150 students, the sector in a pie chart representing the students offering physic...
If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x....
Evaluate: \(\frac{0.42 \div 2.5}{0.5 \times 2.95}\), leaving the answer in the standard form....