Triangle sum and exterior angle theorem.
1 answer:
Did two of them for you as reference for the rest.
Explanation for #1
The sum of all the angles in a triangle is 180. Simply add the given angles. Take 180 and subtract the sum of the given angles
180 - (58 + 47) = 75
Missing angle is 75
Explanation for #4
A straight angle is 180 degrees. Same thing as the first: add the given angles then take 180 and subtract it.
Then take 180 <em>again </em>and subtract the answer you got from the first step.
180 - (21 + 34) = 125
180 - 125 = 55
The missing angle is 55
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Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
