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3 years ago

In the figure, j || k and m∠1 = 63° What is m∠6?

Mathematics

1 answer:

MakcuM [25]3 years ago

6 0

M∠6=117°. since j║k, that means that ∠1 and ∠5 are corresponding angles, so m∠1=m∠5 (m∠5=63°). ∠6 is the supplement of ∠5 so their combined angle measurements must equal to 180°. so m∠6+m∠5=180°, m∠6+63=180°. solve for m∠6. then you come up with m∠6=117°. Hope this helps!

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3 years ago

I need to find the value of x

Zanzabum

Hello,

We know that all the angles shown add up to 360 (think of a circle).

We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°

We also know that the angle of (7x-1)° is congruent to the angle opposite of it.
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Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.

So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
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6 0

3 years ago

Read 2 more answers

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tia_tia [17]

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4 years ago

The measure of an angle is 12 degrees more than five times the measure of its complement. find the measure of the two angles.

Yuliya22 [10]

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3 years ago

An airplane takes off from an airport. When the

Ivanshal [37]

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

<h3>Calculation of the distance travelled</h3>

To calculate the angle of elevation of the airplane

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

Learn more about Pythagorean Theorem here:

brainly.com/question/343682

#SPJ1

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3 years ago