Question 11 Mark
Find the measure of each angle of an equilateral triangle.
Answer
View full question & answer→In equilateral triangle we know that each angle is equal
So $\angle\text{A}=\angle\text{B}=\angle\text{C}$
Now $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$ (by triangle property)
$3\angle\text{A}=180^\circ$
$\angle\text{A}=60^\circ$
Hence $\angle\text{A}=\angle\text{B}=\angle\text{C}=60^\circ.$
So $\angle\text{A}=\angle\text{B}=\angle\text{C}$
Now $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$ (by triangle property)
$3\angle\text{A}=180^\circ$
$\angle\text{A}=60^\circ$
Hence $\angle\text{A}=\angle\text{B}=\angle\text{C}=60^\circ.$