Question

In isoscele angle XYZ, angle X and angle Y are equal and angle Z is
78. Find the measures of angle X and angle Y.​

Answer 1

Answer:

both are 51 degree each

Step-by-step explanation:

we know

angles x=y (isosceles condition and also given)

angle x+y+z=180 degree (angle sum property)

x+y+78=180 degree

x+x+78=180 degree ( x=y)

2x+78=180

2x=180-78

2x=102

x=51 degree

therefore angle x and y are 51 degrees

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Answer 2

Answer:

angle X = angle y ....[(i) equation]

so,

(the sum of angles in a triange is 180°) angle X +angle y + angle z =180°

angle x + angle x + angle z = 180°(by equation i)

2angle x + 78 =180( angle z = 78° given)

2 angle x = 180-78

angle x =102/2

angle x = 51

angle x = angle y = 51