- A65°
- B130°
- C115°
- D50°
Step-by-Step Solution
In a kite the angles between the unequal sides are equal, so . Then , so .
Answer: C) 115°
ABCD is a kite: the tick marks show AB = AD and CB = CD. ∠° and ∠°. Find the angle at D.
Class 8Understanding QuadrilateralsQuadrilaterals
Key idea: Sum of exterior angles
**The sum of the exterior angles of any convex polygon (one at each vertex) is always 360°** — no matter how many sides.
For a regular n-gon, each exterior angle = 360°/n. So a regular quadrilateral (square) has exterior angle 360/4 = 90°. A regular pentagon: 72°. A regular hexagon: 60°.
For a regular n-gon, each exterior angle = 360°/n. So a regular quadrilateral (square) has exterior angle 360/4 = 90°. A regular pentagon: 72°. A regular hexagon: 60°.
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More Class 8 Understanding Quadrilaterals practice
In trapezium ABCD, the arrow marks show AB ∥ DC. ∠A = 62° and ∠B = 75°. Find ∠D.A floor is tiled with identical regular hexagons with no gaps. At the orange corner…Which quadrilateral has all sides equal AND all angles equal?Which quadrilateral is defined as having at least one pair of parallel sides?In a parallelogram ABCD, ∠A = 75°. Find ∠C.