If I is the Incentre of a Triangle, then what is the measure of Angle BIC

Question of The Day28-02-2022

In a △ABC, the bisector of ∠B and ∠C meets at I, If ∠A = 120° what is the measure of ∠BIC?

Answer

Correct Answer : a ) 150°

Explanation :

According to the question

The bisector of ∠B and ∠C meets at I

∠A = 120°

We know that

If the bisector of ∠B and ∠C of △ ABC meet at I, then ‘I’ will be the incenter of △ ABC

We know that

⇒∠I = 90° + ∠\(A \over 2\)

Substituting the values

⇒ ∠I=90+\(120 \over 2\)

⇒∠I = 150°

Hence, (a) is the correct answer.

2 LIKES

COMMENTS

Current-Affairs

Word Of The Day

Palmy

Something that is flourishing or marked by prosperity

Abounding in or shaded with palms

"I have known her since her palmy days when she was living in Delhi."

Paris Olympics 2024: Brief History of Olympics, Winners at Paris Olympics, Related Facts

Highlights of Union Budget 2024-25

Highlights of Interim Budget 2024

150+ Paryayvachi Shabd in Hindi - पर्यायवाची शब्द

Daily Current Affairs and GK | 1, 2, 3 and 4 November 2024

Daily Current Affairs and GK | 31 October 2024

Daily Current Affairs and GK | 30 October 2024

Daily Current Affairs and GK | 29 October 2024

Daily Current Affairs and GK | 27 and 28 October 2024

Banking Awareness of 29, 30 and 31 October 2024

Banking Awareness of 26, 27 and 28 October 2024

Banking Awareness of 23, 24 and 25 October 2024

Banking Awareness of 20, 21 and 22 October 2024

Banking Awareness of 18 and 19 October 2024