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Find each measure. 25-29

Find each measure. 25-29-example-1
User InfZero
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1 Answer

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The only ones we can see in the question is 25, 27, and 29, but I have also included the other angles numbered as they are needed to solve some of the questions shown. I am not sure which problem number angel 1, 3, and 5 relate too though!

Notes to know:

- Triangle's angles add up to 180 degrees

- A box at an angle means it is equal to 90 degrees

1 = 62°

We have all we need to solve, 180 - 90 - 28 = 62°.

(see angle #2 for a more detailed explanation, I did them out of order haha)

25 aka 2 = 39°

The sum of a triangle's angles is 180°, in this triangle we can see a 51°, so 180° - 51° is 129°. We can also see it is next to a right triangle, so 129° - 90° = 39°. We can test this by adding them together. 39° + 51° + 90° = 180°, so this answer checks.

3 = 26°

A straight line is 180° degrees. We can see that the 51° degrees on the bottom there is on a line. 180° - 51° is 129°, so we have all we need to find #3! Using the same method of a triangle being 180° degrees, 180° - 129° - 25° = 26°. To check, 26° + 129° + 25° = 180°, so the answer checks :D

27 aka 4 = 55°

I am using the measurement from angle 6, which is 35°, to solve this one! 180° - 90° - 35° = 55°.

5 = 55°

Using the similar methods from above, 180° - 90° - 35° = 55°. To check, 55° + 35° + 90° = 180°, so this answer checks :))

29 aka 6 = 35°

We need the angle measurement from 5, which is 55°, to solve angle 6! 90° - 55° = 35°, so angle 6 is 35° degrees!

I hope this helps and all of them are correct, have a great day!

User Stelium
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