# In the given figure, the side BC of has been produced on both sides-on the left to D and on the right to E. If =106° and =118°, Find the measure of each angle of the triangle.

74°, 62°, 44°

Given, =106° and =118°

ABD + ABC = 180° [Because DC is a straight line]

106° + ABC = 180°

ABC = 74°_______________ (i)

ACB + ACE = 180° [Because BE is a straight line]

ACB + 118° = 180°

ACB = 62°_______________ (ii)

Now, triangle ABC

ABC + ACB + BAC = 180° [Sum of angles of triangle]

74° + 62° + BAC = 180° [From equation (i) and (ii)]

BAC = 44°

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