Question

the exterior angles produced on producing the base of the triangle in both ways are 100° and 120° .Find all the angles.

Answer 1

Answer:

angles are 40 dagree, 60 degree, 80 degree

let the angles be x, y, z

x + y = 100

x = 100 - y ...........(1)

x + z = 120

100 - y + z = 120

z = 20 + y ............(2)

as we know,

sum of all the angles of the triangle is 180 degree

From (1) & (2)

x + y + z = 180

100 - y + y + 20 + y = 180

y + 120 = 180

y = 60

therefore, x = 40

&

z = 80

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