Answer:
The answer to your question is x = 50
Step-by-step explanation:
Data
Equilateral triangle
∠C = x + 10
Process
To solve this problem we must consider these facts about triangles
- The sum of the internal angles in a triangle equals 180°
- All the angles in an equilateral triangle measures the same,
Equations
∠A + ∠B + ∠C = 180°
but
∠C + ∠C + ∠C = 180°
-Simplification
3∠C = 180°
-Substitution
3(x + 10) = 180°
-Expand
3x + 30 = 180°
-Solve for x
3x = 180 - 30
3x = 150
x = 150/3
x = 50
