Question

15. In the given figure, the side BC of
AABC has been produced on the
left-hand side from B to D and on
the right-hand side from C to E.
If LABD = 106º and ZACE = 118°,
find the measure of each angle of
the triangle​

Answer 1

Answer:

THE ANSWER IS

<BAC =44°

<ABC=74°

<ACB=62°

Step-by-step explanation:

Hello,

So here we have a triangle ABC,

We know,

All the angles in a triangle are equal to 180°------(i)

So here,

B is produced to D.

<ACE + <ACB=180°(BC is the base)

=> <ACB= 180°- <ACE

=> <ACB= 180°-118°

=> <ACB = 62°

Now similarly,

<ABC+<ABD=180°(Reason as earlier)

=> <ABC= 180°-106°

=> <ABC=74°

From equation i

We know,

<ABC + <ACB+<BAC=180°

=> 74°+62°+<BAC=180°

=> <BAC=44°

Please mark me as the brainliest