Question

BD−→− bisects ∠ABC.


Find m∠ABD, m∠CBD, and m∠ABC.

Angle is Acute

Answer 1

Step-by-step explanation:

As said in the question-

BD is a Bisector which is bisecting angle ABC, So it bisects it in 2 equal halves according to the property of bisector which states that a bisector divides the given figure in 2 EQUAL halves.

so,

angle ABD= angle CBD

> 8x+35°=11x+23°

35°-23°=11x-8x

12°=3x

12°/3= x

4°=x

putting x=4°

angle ABD=8x+35°=8×4+35°=32°+35°=67°

angle CBD=11x+23°=11×4+23°=44°+23°=67°

NOW,

angle ABC= angle ABD + angle CBD

= 67° + 67°

= 134°

ANSWER:

angle ABD= 67°

angle CBD= 67°

angle ABC= 134°

HOPE IT HELPS :D