Question

Show that angle a = angle b.
Write down all your workings and reasons

Answer 1

angle a and b lies on the same base of an isosceles triangle hence are equal

Answer 2

Solution

32 + 24 + x+ 90 = 180

156 + x = 180

x = 180 - 156

x = 34

34 is equal to the another part of the isosceles triangle and 90 degree is also equal of both the triangle

90 + 34 + a = 180

124 + a = 180

a = 180 - 124

a = 56

Hence the value of a is equal to the 56

Now as the values are same the angle b is also equal to the 56

b = 56

So, both the angles are equal.

Reason-

The base of both the angles lie in the same line that'swhy both the angles a and b are equal and the value is 56.

Hope it helps you.

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