Question

2. Find angles x and y in each figure.

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Answer 1

Answer:

As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal. So,

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence,

.

ii) As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

AND

the sum of internal angles of a triangle is 180. so,

Also,

.

Hence

.

Answer 2

Answer:

(i) it is a equilateral triangle

as it it given in the attachment

Sum of all angles in a triangle is 180°

so, z = 180° - 120°.

= 60°

y = 60° (as it is given)

z = 180 - (60 + 60)

= 60°

(ii) 90° + x + x = 180°

2x = 180 - 90

x = 90/2 = 45°

one is 45° and the other x is 45°

y = 180 - 45°

= 135°

(as y and the x from 180°)