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1 year ago

Please solve 14 and 15 only i will mark brainliest!!!!

Mathematics

1 answer:

morpeh [17]1 year ago

7 0

Answer:

see explanation

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle

-------------------------------------------

(14)

∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then

∠ 1 = 180° - 58° = 122°

∠ 2 + ∠ 3 = ∠ 4

∠ 2 + 32° = 58° ( subtract 32° from both sides )

∠ 2 = 26°

∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°

∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°

(15)

∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°

∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°

∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°

∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°

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