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2 years ago

Find the measures of the interior angles of the triangle.

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

Answer:

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Step-by-step 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°

frutty [35]2 years ago

4 0

Answer:

<h2><u><em>Angle A = 140°</em></u></h2><h2><u><em>Angle B = 30°</em></u></h2><h2><u><em>Angle C = 10°</em></u></h2>

Step-by-step explanation:

Find the measures of the interior angles of the triangle.

<u>The sum of the interior angles of a triangle is 180°</u>

<u />

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

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

check

180 = 140 + 2 * 15 + 15 - 5

<u>the answer is good</u>

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°

<u>the answer is good</u>

<u></u>

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Step-by-step explanation:

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Step-by-step explanation:

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