7th Class Mathematics The Triangle and its Properties Question Bank Properties of Triangle

  • question_answer
    If one of the angles of an isosceles triangle measures \[30{}^\circ ,\] then what are the possible differences between the measures of its unequal angles?

    A)  \[20{}^\circ \]and \[70{}^\circ \]               

    B)  \[45{}^\circ \] and \[90{}^\circ \]    

    C)  \[30{}^\circ \]and \[90{}^\circ \]               

    D)  \[45{}^\circ \]and \[105{}^\circ \]

    Correct Answer: B

    Solution :

    (b): Case \[1:30{}^\circ \] can be equal \[\angle le,\Rightarrow \angle les\] are \[30{}^\circ ,30{}^\circ ,120{}^\circ \] then, difference \[=120{}^\circ -30{}^\circ =90{}^\circ \] Case \[2:30{}^\circ \] is not equal \[\angle le;\,\,\Rightarrow \angle les\] are \[30,75{}^\circ ,75{}^\circ ,\] then, difference \[=75{}^\circ -30{}^\circ =45{}^\circ \]


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