Solve the following: In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°). Let the base angles be equal to b. The sum of all interior angles of a triangle is 180°. b + b + 40° = 180° 2b + 40° = 180° 2b = 180º - 40º = 140º (Transposing 40º to R.H.S.) Dividing both sides by 2, `(2b)/2 = 140^@/2` b = `70^@` Therefore, the base angles of the triangle are of 70º measure. Concept: Applications of Simple Equations to Practical Situations Is there an error in this question or solution? Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |