Question:medium
In figure \( \angle BAP = 80^\circ \) and \( \angle ABC = 30^\circ \), then \( \angle AQC \) will be:
In figure \( \angle BAP = 80^\circ \) and \( \angle ABC = 30^\circ \), then \( \angle AQC \) will be:
Show Hint
In cyclic quadrilaterals, opposite angles sum up to 180°, which is useful in finding unknown angles.
Updated On: Mar 8, 2026
- 55°
- 110°
- 50°
- 65°
Show Solution
The Correct Option is A
Solution and Explanation
Given \( \angle BAP = 80^\circ \) and \( \angle ABC = 30^\circ \). Using the cyclic quadrilateral property:
\[
\angle AQC = 180^\circ - \angle BAP - \angle ABC = 180^\circ - 80^\circ - 30^\circ = 55^\circ
\]
Thus, \( \angle AQC = 55^\circ \).
Was this answer helpful?
2
Top Questions on Cyclic Quadrilaterals
- If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.
- CBSE Class IX
- Mathematics
- Cyclic Quadrilaterals
- ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠ CAD = ∠ CBD.
- CBSE Class IX
- Mathematics
- Cyclic Quadrilaterals
- Want to practice more? Try solving extra ecology questions todayView All Questions