An equilateral triangle ABC and a scalene triangle DBC are inscribed in a circle on same side of the arc. what is ∠BDC equal to?
60°
The sum of opposite angles in a cyclic quadrilateral is 180^\circ . Angles in a semicircle are always 90^\circ . This is a special case of the angle subtended by an arc property, where the arc is a semicircle (180 degrees at the center). Hence, the correct answer is 60°.
What is the length of QC ?
What is the relation between x and y ?
If y = 15, then what is ∠ACB equal to ?
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If m is the area of the circle S and n is the area of semi-circle S1, then which one of the following is correct?
A circle is inscribed in a triangle ABC. It touches the sides AB and AC at M and N respectively. If O is the centre of the circle and ∠A = 70°, then what is ∠MON equal to?
If ∠ABD = θ, then what is sin θ equal to ?
What is the radius of the circle ?
What is the radius of the circle ?
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AB is a chord of a circle with centre O and P is any point on the circle. If ∠APB = 112°, then what is the measure of ∠OAB ?
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In a circle with centre O, an arc ABC subtends an angle of 132° at the center of the circle. Chord AB is produced to point P. Then ∠CBP is equal to∶
