Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1
Answer:

General Formulas and Concepts:
Order of Operations: BPEMDAS
Distance Formula: 
Step-by-step explanation:
<u>Step 1: Define points</u>
(2, -3)
(5, 1)
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute:

- Subtract:

- Change signs:

- Add:

- Exponents:

- Add:

- Evaluate:

The tangent line is perpendicular to the radius from the center of the circle to the point of tangency.
ΔDCE is similar to ΔDBA
DC/DB=DE/DA
15/50=DE/40
DE=12
Just times 9 x 7 = 63 so, just add it to 1500, which leaves you with your answer. Which is.... 1563
Hope that helped u!!!!!