Answer:
59.0
Step-by-step explanation:
Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:
Opposite side to angle X = 6
Hypotenuse = 7
Therefore, we would apply the following trigonometric ratio formula to solve for m<X:
![sin X = \frac{6}{7}](https://tex.z-dn.net/?f=%20sin%20X%20%3D%20%5Cfrac%7B6%7D%7B7%7D%20%20)
![sin X = 0.8571](https://tex.z-dn.net/?f=%20sin%20X%20%3D%200.8571%20)
![X = sin^{-1}(0.8571)](https://tex.z-dn.net/?f=%20%20X%20%3D%20sin%5E%7B-1%7D%280.8571%29%20)
![X = 58.99](https://tex.z-dn.net/?f=%20%20X%20%3D%2058.99%20)
(rounded to nearest tenth)
Let X = smallest angle
largest 3x
middle=2x. add the 3 angles of any triangle and you get ,180
x+2x+3x=180
6x=180
x= 30
smallest =30
middle=60
largest=90
Answer:
-1 -1 -3 123456
Step-by-step explanation:
Supplementary angles definition: They add up to 180°
There are several ways to prove a parallelogram:
1. Opposite sides theorem converse
2. Opposite angles theorem converse
3. Parallelogram diagonals theorem converse
4. Parallel congruent sides theorem
∠P + ∠Q = 180° --1
∠P + ∠S = 180° --2
1: ∠P = 180° - ∠Q
Sub 1 into 2:
180° - ∠Q + ∠S = 180°
180° + ∠S = 180° + ∠Q
∠S = ∠Q
Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines