Question

Side BC of Angle ABC has been produced
to D on the left hand side and to E on the
right hand side such that angle ABD=125 and angle ACE = 130 find angle BAC.

Answer 1

Answer:

75 degree

Step-by-step explanation:

Angle ABC= 180 - angle ABD

=> 180 - 125= 55°

Angle ACB = 180 - angle ACE

=> 180 - 130 = 50°

Therefore angle BAC => 180- (50+55) = 180-105

=> 75°

Angle BAC = 75°

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Answer 2

Given:

∠ABD = 125°

∠ACE = 130°

To Find:

∠BAC

Explanation:

∠ABC= 180° - ∠ABD

180° - 125°

= 55°

∠ACB = 180 - ∠ACE

180° - 130°

= 50°

Hence ∠BAC = 180°- (50°+55°)

= 180°-105°

= 75°

∠BAC = 75°

Answer = 75°