Question

One of the angles of a triangle is 110 degree and the other two angles are equal. what is the measure of each of these equal angles ? ​

Answer 1

Answer:

$\huge\mathfrak\red{Answer}$

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✰ $\rm{let~ the~ two ~angles~ be ~x~,~ y}$

$\implies\rm{x~+~y~+~110~=~180~(angle ~ sum~ property) }$

$\implies\rm{x~+~y~=~180~-~110}$

$\implies\rm{x~+~y~=~70}$

$\implies\rm{x~=~y~therefore,~ x~+~x~=~70}$

$\implies\rm{2x ~=~70}$

$\implies\rm{x~=~{\dfrac{70}{2}}}$

$\implies\rm{x~=~35~and~y~=~35}$

✰ $\bf{Thus,~x~=~y}$

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Answer 2

let the two angles be x,y

=> x+y+110=180

x+y=180-110

x+y=70

2x=70

x=70/2

x=35 and y=35

therefore, x=y