Answer:
Exterior Angle 1 (2x-10): 140 degrees
Exterior Angle 2 (x+25): 130 degrees
Exterior Angle 3 (right angle): 90 degrees
Explanation:
Givens:
Angle 3 = 90 degrees
Angle 1 + Angle 2 + Angle 3 = 180 degrees
Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle
Step 1: Solving for x.
1. Using the first equation above, substitute the angles.
(2x-10) + (x+25) + 90 = 180
2. Combine like terms.
3x + 105 = 180
3. Solve for x.
3x = 75
x = 25
Step 2: Solving for angle 1 and 2.
Plug 25 in for x for both angles
Angle 1:
(2(25)-10) = 40 degrees
Angle 2:
((25)+25) = 50 degrees
Step 3: Solving for exterior angles.
Plug in the knowns to the second equation above and solve.
Angle 1:
180 - 40 = 140 degrees
Angle 2:
180 - 50 = 130 degrees
Angle 3:
180 - 90 = 90 degrees
I hope this helps!