Question

angle CBD is an exterior angle of a triangle ABC the measure of angle A and angle C are equal if measure angle abc = 50 degree then find measure of angle A and angle CBD​

Answer 1

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.  

Hence, In this case ∠A and ∠B

So,

∠A+∠B=140  ∘  

as ∠A=∠B

or,2∠A=140  ∘

∠A=∠B=70  ∘

Answer 2

Step-by-step explanation:

${\huge\textbf{\textsf{{\color{Magenta}{⛄A}}{\red{N}}{\purple{S}}{\pink{W}}{\blue{E}}{\green{R}}{\red{♡}}{\purple{࿐⛄}}{\color{pink}}}} }⛄ANSWER♡࿐⛄$

We are given m∠B=40o

m∠A=70o

Now, BD is a straight ray

so, m∠ACB+m∠ACD=180o→(1)

In △ABC,m∠A+m∠B+m∠ACB=180o→(2)

From (1) & (2)

m∠A+m∠B=m∠ACD

so, m∠ACD=40o+70o

$\boxed{\bf{\textbf{m∠ACD=110o} }}$

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