Question : In the given figure, the measure of $\angle A$ is:
Option 1: $50^{\circ}$
Option 2: $40^{\circ}$
Option 3: $20^{\circ}$
Option 4: $60^{\circ}$
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Correct Answer: $40^{\circ}$
Solution : According to the Side Angle Side (SAS) congruency axiom, two triangles are congruent if their respective included angles and the corresponding two sides are equal. In $\triangle ABC$ and $\triangle PQR$, AB = PQ = 7 cm $\angle B= \angle Q=70^{\circ}$ BC = QR = 8 cm By SAS rule, $\triangle ABC\cong \triangle PQR$. ⇒ $\angle A =\angle P$ ⇒ $2x=x+20^{\circ}$ ⇒ $2x–x=20^{\circ}$ ⇒ $x=20^{\circ}$ The measure of $\angle A=2x=2\times 20^{\circ}=40^{\circ}$. Hence, the correct answer is $40^{\circ}$.
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Question : Directions: Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).
Question : Directions: Select the option figure that is embedded in the given figure (rotation is NOT allowed).
Question : Directions: Select the option figure that is embedded in the given figure. (Rotation is not allowed).
Question : Directions: Which answer figure will combine the pattern in the question figure?
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