Question

in the given figure angle abc is equals to 110 degree angle PCA is equals to 120 degree then measure of angle abc is​

Answer 1

Answer:

sum of all angles in a line =180°

so,BCA+PCA=180°

than BCA =60°

and EAB+BAC=180°

then BAC=70°

and sum of all angles of triangle =180°

BAC + BCA + ABC = 180°

70° + 60° + ABC = 180°

ABC=180°-70°-60°

so,ABC= 50°

Answer 2

Answer:

Hey

Step-by-step explanation:

Angle BAE: 110° = Angle PCA: 120°

Angle ACB = 180° -Angle PCA

AngleACB = 180° -120°

ACB = 60°

Angle BAC = 180° -Angle BAE

Angle BAC = 180° -110°

BAC = 70°

∴ΔABC = ∠BAC +∠ABC +∠ACB = 180°

 ΔABC = 70° +∠ABC +60° = 180°

 ΔABC = 130° +∠ABC = 180°

 ∠ABC = 180° -130°

∴ ∠ABC = 50°