Question

In triangle ABC if AC = BC angle A = 55° then angle C is

A 55⁰
B 45⁰
C 35⁰
D 70⁰​

Answer 1

In a △ABC, by angle sum property, sum of angles of a triangle is 180⁰

∴∠ABC+∠BCA+∠CAB=180⁰

Given : ∠A=∠CAB=55⁰

and ∠B=∠ABC=40⁰

∴55∘+40∘+∠BCA=180⁰

∴∠BCA=180∘−95∘ =85⁰

Therefore, ∠BCA=∠C=85⁰

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