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posledela
2 years ago
13

Threeangles of a quadrilateral are equal and its fourth angel is 120° . Find all the angels

Mathematics
2 answers:
lilavasa [31]2 years ago
6 0

Answer:

80°

Step-by-step explanation:

Three angles are equal

Let the equal angle be x

3x+120=360

3x=240

x=240/3

=80

Hence the three angles are 80∘


kogti [31]2 years ago
6 0

Answer:

Each of the three congruent angles has measure 80 deg. The fourth angle has measure 120 deg.

Step-by-step explanation:

The sum of the measures of the angles of an n-sided polygon is (n - 2)180.

A quadrilateral has 4 sides, so n = 4 in the formula above.

(n - 2)180 = (4 - 2)180 = 2(180) = 360

The sum of the measures of the angles of a quadrilateral is 360 degrees.

Three angles are congruent. Let the measures of the three congruent angles be x. The sum of the measures of the 3 angles is x + x + x = 3x.

The sum of the measures of the angles is 360 deg.

3x + 120 = 360

Subtract 120 from both sides.

3x = 240

Divide both sides by 3.

x = 80

Answer: Each of the three congruent angles has measure 80 deg. The fourth angle has measure 120 deg.

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dolphi86 [110]

Answer:

x=8

Step-by-step explanation:

we know that

If Quadrilateral RSTU is a rectangle

then

The measure of angle STU is a right angle

m∠STU=90°

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so

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substitute the given values

(3x-2)+(8x+4)=90°

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3 years ago
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Answer:

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Step-by-step explanation:

Not much of an explanation needed

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Answer:

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Step-by-step explanation:

The mid point can be found with the formula

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Replacing coordinates in the formula, we have

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Therefore, the mid point of the segment PQ is P_{m}=(6,10.5,9)

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