Step-by-step explanation:
Since PQ = PR
its angles opposite to the equal sides will be equal
angle Q = angle R
let angle Q be x
angle R = x
In Triangle PQR
angle P + angle Q + angle R = 180° (alternate interior angles)
60° + x + x = 180°
2x = 180° - 60° = 120°
x = 120°/2 = 60°
Since all angles are equal, i.e, 60°
Therefore, Triangle PQR is equilateral triangle
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Verified answer
Step-by-step explanation:
Since PQ = PR
its angles opposite to the equal sides will be equal
angle Q = angle R
let angle Q be x
angle R = x
In Triangle PQR
angle P + angle Q + angle R = 180° (alternate interior angles)
60° + x + x = 180°
2x = 180° - 60° = 120°
x = 120°/2 = 60°
Since all angles are equal, i.e, 60°
Therefore, Triangle PQR is equilateral triangle