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Constructions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer.In $\triangle\text{ABC},$ side $BC$ has been produced to $D.$ If $\angle\text{ACD}=132^\circ$ and $\angle\text{A}=54^\circ$ then $\angle\text{B}={ ?}$
  • A
    $48^\circ$
  • ✓
    $78^\circ$
  • C
    $68^\circ$
  • D
    $58^\circ$
✓

Answer

Correct option: B.
$78^\circ$
In $\triangle\text{ABC,}$ side $BC$ is produced to $D$
$\triangle\text{ACD}=132^\circ$ and $\angle\text{A}=54^\circ$
Ext. $\angle\text{ACD}=\angle\text{A}+\angle\text{B}$
$\Rightarrow132^\circ=54^\circ+\angle\text{B}$
$\Rightarrow\angle\text{B}=132^\circ-54^\circ=78^\circ$

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