Answer:
The value of the variable m is 14
The relationship is used → 5m - 28° = m + m + m
Step-by-step explanation:
In the given figure
∵ An angle is divided into 3 equal angles
∵ One angle of these equal angles measures m
∴ That means every one of these equal angles measures m
∵ The measure of the angle which divided into 3 equal angles is 5m - 28°
→ That means its measure equal the sum of the measures of
the 3 equal angles
∴ 5m - 28 = m + m + m
→ Add the like terms in the right side
∴ 5m - 28 = 3m
→ Add 28 to both sides
∵ 5m - 28 + 28 = 3m + 28
∴ 5m = 3m + 28
→ Subtract 3m from both sides
∵ 5m - 3m = 3m - 3m + 28
∴ 2m = 28
→ Divide both sides by 2
∵ [tex]\frac{2m}{2}=\frac{28}{2}[/tex]
∴ m = 14
The value of the variable m is 14
The relationship is used → 5m - 28° = m + m + m
