iran-konkur 2022 Q133

iran-konkur · Other · konkur-riazi_1401_specialized Not Maths
133. In the figure below, $AB \parallel EF$, and the arcs measure $\widehat{AE} = 15°$, $\widehat{EC} = 80°$, $\widehat{FD} = 100°$. If $\widehat{BME} = 25°$, what is the measure of angle $\widehat{ABD}$?
[Figure: A circle with points $A$, $B$, $C$, $D$, $E$, $F$, $M$ marked, with $AB \parallel EF$]
\begin{flushright} (1) $71/25$
(2) $74$
(3) $75$
(4) $78/75$ \end{flushright}
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\textbf{133.} In the figure below, $AB \parallel EF$, and the arcs measure $\widehat{AE} = 15°$, $\widehat{EC} = 80°$, $\widehat{FD} = 100°$. If $\widehat{BME} = 25°$, what is the measure of angle $\widehat{ABD}$?

\textit{[Figure: A circle with points $A$, $B$, $C$, $D$, $E$, $F$, $M$ marked, with $AB \parallel EF$]}

\begin{flushright}
(1) $71/25$\\
(2) $74$\\
(3) $75$\\
(4) $78/75$
\end{flushright}



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