Question

4. If an exterior angle of a triangle is 130° and one of the interior opposite angles is
60°, find the measures of the remaining angles of the triangle.​

Answer 1

As per problem,

• ABC + BAC = ACD [ Exterior angle sum property of triangle]

• X + 60 = 130

• X = 130 - 60

• X = 70

• Therefore, the other interior angle of the triangle is 70 degrees

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Answer 2

Answer:

let the opposite angle be = x

according to question

60° + x

130°

(the +60° will go on rhs and become -60°)

x = 130° - 60°

x = 70°

therefore the opposite interior angle is 70°

now, let's find the 3rd angle of triangle

180° - (60°+70°)

180° - 130°

50°

(angles of triangle = 60°, 70° , 50°)

Step-by-step explanation:

total angle of any triangle= 180°

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