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Answer: x = 8
Each angle is 120 degrees
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Explanation:
The top and bottom angles are vertical angles, so they are congruent to each other. This means they are the same measure.
14x+8 = 4x+88
14x+8-8 = 4x+88-8 ... subtract 8 from both sides
14x = 4x+80
14x-4x = 4x+80-4x ... subtract 4x from both sides
10x = 80
10x/10 = 80/10 ... divide both sides by 10
x = 8
Once you know x, you can figure out each angle
top angle = 4x+88 = 4*8+88 = 120 degrees
botom angle = 14x+8 = 14*8+8 = 120 degrees
Both angles are 120 degrees so this helps confirm we have the proper x value
Answer:
The Hypotenuse is side just opposite to the right angle.
Step-by-step explanation:
By Pythagoras' theorem,
c^2=a^2+b^2
c^2(hypotenuse to be found)= 30^2+ 16^2
<em>c^2=1156
</em>
<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>
<em><u>The square root of 1156 is 34. </u></em>
<h2><em><u>
Thus, c ( hypotenuse) = 34</u></em></h2>
Hope it helped :)
