Question

7. From the given figure find angle ABC and angle BAC
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Answer 1

Answer:

Angle AMN=ABC=100

By angle sum property

angle ABC +angle BAC + angle BCA = 180

100+50 +angle BAC = 180

150+ Angle BAC = 180

ANGLE BAC = 180 - 150

angle BAC = 30

Answer 2

Step-by-step explanation:

As MN and BC are parallel lines,

=> angleAMN = angle MBC [:. Corresponding angles]

=> angle ABC = 100°

In ∆ABC,

By angle sum property,

=> angle ABC + angle ACB + angle BAC = 180°

=> 100° + 50° + angle BAC = 180°

=> angle BAC = 180° - 150°

=> angle BAC =30°.

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