Question

In the figure, find the values of x and y. Is triangle ABC isosceles? If so name the equal sides.
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Answer 1

x + 115 = 180 (linear angles)
x = 180 - 115
x = 65

x+y+50=180 ( angle sum property )
65+y+50=180
y+115=180
y=180-115
y=65

Since x=y we can say that triangle ABC is isocèles,
AB=AC ( isocèles property )

Answer 2

Step-by-step explanation:

angle BAC =50°

angle ABC =X°

angle BCA =Y°

exterior angle = 115°

exterior angle= sum of two opposite angles

115°=50°+X°

X°=115°-50°

= 65°

Y°= sum of all angles in a triangle=180°

Y°= 180°-(50°+65°)

= 180°-115°

= 65°

yes it is a issocelos triangle because

the two angles (angle ABC, angle BCA) are equall

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