Question

please explain step by step
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Answer 1

Answer:

BAC = 115

Step-by-step explanation:

Given-

angle ABE = 139

angle ACD = 156

To find-

angle BAC

Solution-

angle ABE+ angle ABC = 180 (linear pair)

139 + ABC = 180

ABC = 180 - 139

ABC = 41

ACD + ACB = 180 (linear pair)

156 + ACB = 180

ACB = 180 - 156

ACB = 24

ABC + ACB + BAC = 180 (angle sum property)

41 + 24 + BAC = 180

65 + BAC = 180

BAC = 180 - 65

BAC = 115

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