Question

In an isosceles triangle if each of the base angles is 45 degree. Then the third angle is *

a. 45 degree
b. 100 degree
c. 90 degree

Answer 1

Answer:

solution :-

the third angle is 90 degree.

Step-by-step explanation:

an isosceles triangle has 2 equal sides and the third side has different measurement.

According, to the question....

base angles of triangle =45degree + 45 degree = 90 degree

(sum of a triangle = 180 degree)

let the third side od triangle = x

90 degree+ x = 180 degree

x = 180-90

x = 90 degree

so, the third angle is 90 degree.

Answer 2

The third angle is 90 degrees.

We know that "In an isosceles triangle, any two sides are equal".

In the question, it is given that, each of the base angles is 45 degrees.

Thus, Sum of base angles= (45+45) degree = 90 degree

Let the third unknown angle be x.

We also know that the total sum of angles of a triangle is 180 degrees.

Thus, 90 degree + x degree = 180 degree

⇒ x degree = 180 degree - 90degree

⇒                  = 90 degrees

i.e, the third angle is 90 degrees.

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