In an isosceles triangle ABC with base AC, the exterior angle at vertex C is 123 degrees. Find the angle ABC. Answer in degrees

Jamar Hays

Jamar Hays

Answered question

2022-09-13

In an isosceles triangle ABC with base AC, the exterior angle at vertex C is 123 degrees. Find the angle ABC. Answer in degrees

Answer & Explanation

Blaine Day

Blaine Day

Beginner2022-09-14Added 14 answers

If the outer angle C is 123, then the inner angle is 180-123=57. Since the triangle is isosceles, angle A=C=57. The sum of the angles of a triangle is 180. 180-2*57=66.
Answer: 66.
empatiji2v

empatiji2v

Beginner2022-09-15Added 18 answers

since the outer corner is adjacent to the angle DIA, then the angle DIA=180-123=57
and we know that angle BAC and angle DAB are equal, then BAC is also equal to 57 degrees
and to find ABC you need 180-(57+57)=180-144=66 degrees
The answer is 66 degrees

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?