Question

In the given triangle find 'x'. A 409 60° B С. SECTION IT D​

Answer 1

Answer:

100°

Step-by-step explanation:

TWO INTERIOR ANGLES IS EQUAL TO ITS EXTERIOR ANGLE

《 ABC +《CBA = 《ACD

40°+ 60° = 《ACD

《ACD = 100°

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Answer 2

$ans. \: \: angle \: of \: sum \: in \: triangle \: property = 180⁰ \\ \\ ∆ABC + ∆BCA + ∆CBA = 180⁰ \\ \\ 40⁰+ 60⁰+ ∆CBA = 180⁰ \\ \\ = >100⁰ + ∆CBA = 180⁰ \\ \\ = > ∆CBA = 180⁰ - 100 ⁰\\ \\ = >∆CBA = 100⁰ \\ \\ = >( in \: supplementry \: angle) \\ \\ = > ∆CBA + ∆DCA= 180 ⁰ \\ \\ = > 80 ⁰ + x ⁰ = 180 ⁰ \\ \\ = > x = 180 ⁰ - 80 ⁰ \\ \\ = > x = 100 ⁰ \\ hence \: proved.$