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35 votes
35 votes
Find a if the measure of c is 89 .

Find a if the measure of c is 89 .-example-1
User Kworks
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1 Answer

19 votes
19 votes

Answer:

Concept:

The opposite angles of a cyclic quadilateral are supplementary


\begin{gathered} \angle A+\angle C=180^0 \\ \angle C=89^0 \end{gathered}

By applying the principle, we will have


\begin{gathered} \angle A+\angle C=180^0 \\ \angle A+89^0=180^0 \\ \angle A=180^0-89^0 \\ \angle A=91^0 \end{gathered}

Hence,

The final answer for ∠A =91°

The SECOND OPTION is the right answer

User Theo
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