Question

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Q. If one angle of a triangle is equal to the sum of the other two angles, then what is the triangle ?

Answer 1

Dear student,


$$\begin{gathered} Given:oneangleof∆=sumofothertwoangles \\ \Rightarrow \angle 1=\angle 2+\angle 3 \\ Weknow, \\ \angle 1+\angle 2+\angle 3=180° \\ \Rightarrow \angle 2+\angle 3+\angle 2+\angle 3=180° \\ \Rightarrow 2\left(\angle 2+\angle 3\right)=180° \\ \Rightarrow \angle 2+\angle 3=90° \\ Thusthetriangleisrightangledtriangle \end{gathered}$$

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