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barxatty [35]
3 years ago
12

The angles in triangle are in the ratio of 2:2:4. Find the exterior angle adjacent to the largest angle.

Mathematics
1 answer:
Sliva [168]3 years ago
5 0
The sum of all interior angles in a triangle is 180°.

the angles in this triangle are on a 2:2:4, we know if we add all those three angles, we'd end up with 180°, therefore then 180 is on a 2:2:4 ratio.

in other words, 180 divided by (2+2+4) gives us  22.5°.

now, we know one angle takes 2 of those 22.5, so is 22.5+22.5 or 45°.

the other angle takes the same 2 of those, so is also 45°.

and the largest one takes 4 of those, so is 22.5(4) or 90°.

now, what's the exterior angle to a 90°  angle?  check the picture below.

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■.Given angle TUV and ray UW, if m/TUV = 89,
aniked [119]

The measure of m<WUV is 53 degrees

<h3>Lines and angles</h3>

Given the following parameters

m<TUW = 22 +7x,

m<WUV = 41+ 6x

m<TUV. = 89

The related expression is given as:

m<TUV + m<WUV = m<TUV.

Substitute

22+7x+41+6x = 89

63 + 13x = 89

13x = 89 - 63

13x = 26

x = 2

Determine the measure of m<WUV

m<WUV = 41 + 6(2)

m<WUV = 41 + 12

m<WUV =53 degrees

Hence the measure of m<WUV is 53 degrees

Learn more on line and angles here: brainly.com/question/25770607

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A trapezoid is 64cm^2. The height is 12 cm and one base is 4cm. What is the length of the missing base?
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Answer:

20/3

Step-by-step

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Answer:

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Step-by-step explanation:

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