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yKpoI14uk [10]
3 years ago
11

GEOMETRY. 20 POINTS. PLEASE DO NOT GIVE STUPID ANSWERS.

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0
Hey there!

A quadrilateral has 360 degrees. So add all the degrees together to 360. 9x+1+5x-12+8x+61+90=360. 90 degrees is in the bottom left corner. Combine like terms. 22x+140=360. Subtract 140 from each side. 22x=220. Divide 22 on each side to get x=10. Plug in 10 for x in angle D. 5(10)-12=38. The measure of angle D is 38 degrees.

I hope this helps!
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Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. <em>x° + 55° + (4x - 5)° = 180</em>°

We can remove the brackets to form; <em>x° + 55° + 4x° - 5° = 180°</em>

We can get rid of the like terms by either <em>adding </em>or <em>subtracting </em>them.

<em>x° + 4x° + 55° - 5° = 180°</em>

<em>5x° + 50° = 180°</em>

We can then subtract 50° from both sides.

<em>5x° = 180° - 50°</em>

<em>5x° = 130°</em>

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They <u><em>should always</em></u> add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

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Step-by-step explanation:

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