2026-09-10T00:15:04.731394 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Use the kite in the diagram to find the size of a...
Question 1 Report
Use the kite in the diagram to find the size of angle \(y\). The kite is \(ABCD\) with \(AB = AD\) and \(CB = CD\). Angle \(DAB = 108^\circ\) and angle \(ABC = 76^\circ\). Angle \(y\) is angle \(BCD\). Give your answer in degrees.
Answer Details
A kite with \(AB=AD\) and \(CB=CD\) has equal opposite angles between the unequal sides. Therefore angle \(ADC\) equals angle \(ABC\), so
\[\angle ADC=76^\circ\]
[M1]
The four interior angles of the kite add to \(360^\circ\):
\[y=360^\circ-108^\circ-76^\circ-76^\circ=100^\circ\]
[M1 A1] Therefore \(y=100^\circ\).
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