In \\DeltaA B C, the side A B is produced to E and side C A is produced to D. If \\angleB A D=125^\circ and \\angleE B C=100^\circ, then which of the following is true?

Correct Answer is : Difference between ∠ABC and ∠ACB is 35°

Difference between \\angleA B C and \\angleA C B is 35^\circ

Difference between \\angleB A C and \\angleA C B is 20^\circ

\\DeltaA B C is an isosceles triangle.

CTET 2 Math and Science Jan 2021 Paper

Question : 56 of 150

Marks: +1, -0

\ΔA B C

, the side

A B

is produced to

E

and side

C A

is produced to

D

. If

\∠B A D=125°

and

\∠E B C=100°

, then which of the following is true?

Solution:

In the above figure,

\∠B A C=180°-125°=55°

\∠A B C=180°-100°=80°

\ΔA B C

, by angle sum property of 4.

\∠A B C+\∠B A C+\∠B C A=180°

80°+55°+\∠B C A=180°

\∠B C A=180°-80°-55°

\∠B C A=45°

We know that,

∴ \∠A B C-\∠A C B=80°-45°=35°

Hence, option (a) is correct.

Go to Question:

Prev Question

Next Question