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Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsTriangles1 Mark
MCQ
It is given that$\triangle\text{ABC}\cong\triangle\text{FDE}$ in which AB = 5cm, $\angle\text{B}=40^{\circ},\angle\text{A}=80^{\circ}$and FD = 5cm. Then, which of the following is true?
  • A
    $\angle\text{D}=60^{\circ}$
  • B
    $\angle\text{E}=60^{\circ}$
  • C
    $\angle\text{F}=60^{\circ}$
  • D
    $\angle\text{D}=80^{\circ}$
✓

Answer

  1. $\angle\text{E}=60^{\circ}$
    Solution:
    Given $\triangle\text{ABC}\cong\triangle\text{FDE}$
    $\angle\text{A}=\angle\text{F}=80^{\circ}$ ...(C.P.C.T.)
    $\angle\text{B}=\angle\text{D}=40^{\circ}$ ...(C.P.C.T.)
    $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^{\circ}$ ...(Angle sum property)
    $\Rightarrow80^{\circ}+40^{\circ}+\angle\text{C}=180^{\circ}$
    $\Rightarrow\angle\text{C}=60^{\circ}$
    $\therefore\angle\text{E}=\angle\text{C}=60^{\circ}$
    $\therefore\angle\text{E}=60^{\circ}$

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