Q. 1375.0( 3 Votes )

In Fig. 6.45, if ST = SU, then find the values of x and y.


Answer :

Formula Used/Theory:-


If 2 sides are equal then triangle is Isosceles triangle


In isosceles triangle base angles of triangles are also equal


Angle sum property


Sum of all angles of triangle is 180°


exterior angle is sum of interior opposite angles


TSU = 78° (Vertically opposite angles )


By isosceles triangle property


STU = SUT


By angle sum property


STU + SUT + TUS = 180°


y + y + 78° = 180°


2y = 180° - 78° = 102° =


y = 51°


By exterior angle property


x = 78° + y


x = 78° + 51° = 129°


Result:- The value of x and y are 51° and 102°


respectively


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