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Given the diagram bellow, which of the following is true

User Mdthh
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1 Answer

5 votes

Consider triangle BAC and triangle CAD.


\begin{gathered} \angle ABC=\angle ADC\text{ (Each angle is right angle)} \\ AC=AC\text{ (Common sides)} \\ BC=DC\text{ (Each side is 15)} \\ \Delta ABC\cong\Delta ADC\text{ (By RHS similarity condition)} \end{gathered}

So by similar traingle,


\begin{gathered} \angle BAC=\angle DAC \\ \angle BAC=35^(\circ) \end{gathered}

Determine the measure of angle BAD.


\begin{gathered} \angle BAD=\angle BAC+\angle DAC \\ =35+35 \\ =70 \end{gathered}

Thus option A is correct.

User Voddy
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