maths problem. correct answer shall be rewarded brainliest
Answers
Step-by-step explanation:
Given,
Angle ABE = 100°
Angle ACD = 120°
We know that,
Angle ABE and Angle ABC are supplementary angles.
= Angle ABE + Angle ABC = 180°
= 100° + Angle ABC = 180°
= Angle ABC = 180°-100° = 80°
We know that,
Angle ACD and Angle ACB are supplementary angles.
= Angle ACD + Angle ACB = 180°
= 120° + Angle ACB = 180°
= Angle ACB = 180°-120° = 60°
Now,
We know that,
Angle ABC = 80° and Angle ACB = 60°
We also know that,
Angle ABC,Angle ACB and Angle BAC are the 3 angles in the given triangle.
That means,
Angle ABC + Angle ACB + Angle BAC = 180°
= 80° + 60° + Angle BAC = 180°
= Angle BAC = 180°- (80° + 60°)
= Angle BAC = 180° - 140° = 40°
All the angles of the given triangle are :
Angle ABE = 100°
Angle ACD = 120°
Angle ABC = 80°
Angle ACB = 60°
Angle BAC = 40°