Answer:
- x = 55
- x° = 55°
- (x+10)° = 65°
- (x+5)° = 60°
Step-by-step explanation:
You want to find a value for x and the measures of the angles in a triangle where angles are given in terms of x.
Angle sum theorem
The angle sum theorem tells you the sum of angles of a triangle is 180°. For this triangle, that means ...
x° +(x +10)° +(x +5)° = 180°
Solution
Simplifying the equation, we get ...
3x° +15° = 180°
x° +5° = 60° . . . . . divide by 3
x° = 55° . . . . . . . . subtract 5°
(x +10)° = 65° . . . . add 10° to the previous equation
The value of x is 55.
The measures of the angles, CW from lower left, are ...
55°, 65°, 60°
