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  • The angles of a triangle are x, y and 40degree. The difference between the two angles x and y is 30degree. Find x and y.

The angles of a triangle are x, y and 40^{\circ}. The difference between the two angles x and y is 30^{\circ}. Find x and y.

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Solution:
Given: x – y = 30^{\circ} …(1)

According to the sum of interior angles of a triangle’s property
x + y + 40^{\circ} = 180
x + y = 140^{\circ} … (2)
Solve eq. (1) and eq. (2) using substitution method.
x – y = 30^{\circ}
x + y = 140^{\circ}
2x = 170

x = \frac{170}{2}
x = 85^{\circ}
Put x = 85^{\circ} in eq. (1) we get
85^{\circ}– y =30^{\circ}
85^{\circ} – 30^{\circ} = y
55^{\circ} = y

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