Question : ΔABC and ΔDEF are congruent respectively. If AB = 6 = DE, BC = 8 = EF and $\angle$B = 30°, then $\angle$D + $\angle$C _________.
Option 1: 160°
Option 2: 120°
Option 3: 130°
Option 4: 150°
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 150°
Solution : Given, that $\triangle$ABC and $\triangle$DEF are congruent. AB = 6 = DE, BC = 8 = EF, and $\angle$B = 30° Since, $\triangle$ABC $\cong$ $\triangle$DEF ⇒ $\angle$A = $\angle$D By angle sum property in $\triangle$ABC, $\angle$A + $\angle$B + $\angle$C = 180° ⇒ $\angle$D + 30° + $\angle$C = 180° ⇒ $\angle$D + $\angle$C = 150° Hence, the correct answer is 150°.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : In an isosceles $\triangle ABC$, $AB = AC$, $XY || BC$. If $\angle A=30°$, then $\angle BXY$?
Question : If m$\angle$C = m$\angle$Z and AC = XZ, which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
Question : $\Delta ABC$ and $\Delta DEF$ are two similar triangles and the perimeters of $\Delta ABC$ and $\Delta DEF$ are 90 cm and 54 cm respectively. If the length of DE = 36 cm, then the length of AB is:
Question : In $\triangle$ABC, $\angle$B = 35°, $\angle$C = 65° and the bisector of $\angle$BAC meets BC in D. Then $\angle$ADB is:
Question : In $\triangle$ABC and $\triangle$DEF, $\angle$A = $55^{\circ}$, AB = DE, AC = DF, $\angle$E = $85^{\circ}$ and $\angle$F = $40^{\circ}$. By which property are $\triangle$ABC and $\triangle$DEF congruent?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile