- A25°
- B50°
- C35°
- D75°
Step-by-Step Solution
∠ABC = (opposite angles of a cyclic quadrilateral). With ∠DBC = and ∠ABD = ° and °. ∠DAC and ∠DBC stand on the same arc DC, so ∠DAC = 25°.
Answer: A) 25°
A, B, C and D lie on a circle in that order. ∠ABD is twice ∠DBC and ∠ADC = 105°. Find ∠DAC.
Competition practiceGeometry
Master this topic in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Geometry practice questions
More Geometry practice
In a circle of radius 6 cm, a chord subtends an angle of 120° at the centre. Find the…Two parallel chords of a circle, of lengths 10 cm and 24 cm, lie on opposite sides of…A point P lies 12 cm from the centre of a circle of radius 13 cm. What is the length of…A point is 25 cm from the centre of a circle of radius 7 cm. How long is the tangent…PA and PB are tangents to a circle from an external point P, and ∠APB = 70°. Find ∠PAB.