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Semenov [28]
3 years ago
8

Solve with explanation (3)

Mathematics
1 answer:
grin007 [14]3 years ago
4 0

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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