Question

. In ∆ABC, if AB = AC and ∠B = 43°, then find the measure of ∠ACB.​

Answer 1

Answer:

HEY!! HERE IS YOUR REQUIRED ANSWER STEPWISE -:

• Note -: When two sides of a triangle are equal then it is said to be an isosceles triangle.

Hence,∠ACB = ∠BAC

• Note-: In isosceles triangle,if two sides are equal then its opposite angles are equal.

So, ∠BAC = 43⁰ [ ∠ACB = 43⁰ ]

• Note-: In triangles sum of all sides of an angle is 180⁰.

= ∠ACB + ∠BAC + ∠ABC = 180⁰

= 43⁰ + 43⁰ + ∠ABC = 180⁰

= 86⁰ + ∠ABC = 180⁰

= ∠ABC = 180⁰ - 86⁰

= 94⁰

Thus,the measure of ∠ABC is 94⁰.