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25-10-2022
Mathematics

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In the diagram below, if < ACD = 54 °, find the measure of < ABD

In the diagram below if lt ACD 54 find the measure of lt ABD class=

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ShaunB676911 ShaunB676911

25-10-2022

Opposite angles in a quadrilateral inscribed in a circle add up to 180, therefore:

[tex]\begin{gathered} m\angle ACD+m\angle ABD=180 \\ 54+m\angle ABD=180 \\ m\angle ABD=180-54 \\ m\angle ABD=126^{\circ} \end{gathered}[/tex]

Answer:

b. 126

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