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Q.

In an isosceles triangle, the base angles are equal. The vertex angle is 40 Question Image. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180 Question Image)


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a

70, 40Question Image

b

70, 70Question Image

c

50, 50Question Image

d

40, 80Question Image 

answer is B.

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Detailed Solution

Concept- The two identical sides of an isosceles triangle are known as the legs, and the third side is known as the base. The vertex angle is the angle that the legs make up, while the base angles are those that have the base as one of their sides.
Let x represent the isosceles triangle's base angle.
It is assumed that an isosceles triangle's vertex angle is Question Image and that its base angles are equal.
We are aware that a triangle's three angles add up to 180 degrees.
Question ImageQuestion ImageQuestion ImageQuestion ImageWith both sides divided by 2, we obtainQuestion ImageTherefore, the isosceles triangle's base angle is 70 degrees.
The isosceles triangle's second base angle, which is similarly 70 degrees, is also equal to both of the base angles.
The isosceles triangle's base angles are therefore Question ImageHence, [20]the correct answer is option 2.
 
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