3 years ago

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Mathematics

1 answer:

True [87]3 years ago

4 0

Answer:

∠ 4 = 140°

Step-by-step explanation:

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

∠ 4 is an exterior angle of the triangle, then

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 8 = 6x + 7 + 4x + 13

11x + 8 = 10x + 20 ( subtract 10x from both sides )

x + 8 = 20 ( subtract 8 from both sides )

x = 12

Then

∠ 4 = 11x + 8 = 11(12) + 8 = 132 + 8 = 140°

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