in an isosceles triangle the base angles are equal the vertex angle is 40 degrees what are the base angles - Maths - Simple Equations

Question

in an isosceles triangle the base angles are equal the vertex angle
is 40 degrees what are the base angles of the triangle?

Shruti Tyagi · Accepted Answer

Dear Student,

Let triangle be ABCsum of all angles of a triangle is 180⇒∠A+∠B+∠C=180let ∠A be vertex angle and ∠B and ∠C are base angles which are equalhence ∠B = ∠C⇒40+∠B + ∠C=180⇒∠B + ∠C=180-40⇒∠B + ∠C=140⇒2×∠B=140⇒∠B=70also ∠B=∠Chence ∠B=∠C=70

Regards,

in an isosceles triangle the base angles are equal.the vertex angle is 40 degrees what are the base angles of the triangle?