Question

Find the measures of the interior angles of the triangle.

I really need help with this, it is due 10 pm tonight, if you can help thanks so much :)

Answer 1

Angle A = 140°

Angle B = 30°

Angle C = 10°

Explanation:

Find the measures of the interior angles of the triangle.

• The sum of the interior angles of a triangle is 180°

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

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check

180 = 140 + 2 * 15 + 15 - 5

180 = 180

the answer is good

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Find the angles

140° = angle A

2x = 15 * 2

2x = 30° (angle B)

x - 5 = 15 - 5

x = 10° ( angle C)

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

check

140 + 30 + 10 = 180°

the answer is good

Answer 2

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Explanation:

the sum of the 3 interior angles = 180°

sum the given angles and equate to 180

x - 5 + 2x + 140 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then

∠ A = 140°

∠ B = 2x = 2 × 15 = 30°

∠ C = x - 5 = 15 - 5 = 10°