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AnnZ [28]
3 years ago
13

In a​ triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is

80 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180degrees to find the measure of each angle.
Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

1st Angle - 60

2nd Angle - 20

3rd Angle - 100

Step-by-step explanation:

Not sure if it really needs an explanation. 60 is 3 times as much as 20, and 100 is 80 more than 20. All together, it makes 180 degrees.

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The answer you want will be 10.

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Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?
Oksana_A [137]

Option C: 126° is the correct answer

Step-by-step explanation:

When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.

The opposite vertical angles are equal.

In the given figure, the pairs of vertically opposite angles are e,h and f,g.

Given

∠e = 126°

The measurement of e and h will be equal as they are vertically opposite

So,

m∠e = m∠h

m∠h = 126°

Hence,

Option C: 126° is the correct answer

Keywords: Vertical angles, lines

Learn more about angles at:

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6 0
3 years ago
The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0
2 years ago
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