A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
Answer:
5/4
Step-by-step explanation:
Use the slope formula
The answer is 4.9. 32/26=6/x, cross multiple to get 32x=156, divide by 32 to get x=4.875~4.9
Hey there!
The answer to your question is 
Given:

First, we distribute the negative sign to both terms (
) This would make the
negative and the
positive, so we have:

Add them together and we get:

Have a nice day!
There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '

' in a right triangle, '

' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:

Now, we solve for x:
So, answer is 3.4