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  • 24-01-2021
  • Mathematics
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solve with explanation (3)

solve with explanation 3 class=

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 29-01-2021

Answer:

a = 66⁰

b = 33⁰

Step-by-step explanation:

Given;

∠ABC = 114⁰

To calculate a⁰;

a + 114 = 180⁰ (opposite angles of a quadrilateral are supplementary)

a = 180 - 114

a = 66⁰

To calculate b⁰;

Line AB = Line BC, thus, ∠BAC = ∠BCA

∠BAC = b,      then  ∠BCA = b

b + b + 114 = 180 (sum of angles in a triangle)

2b = 180 - 114

2b = 66

b = 66/2

b = 33⁰

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