Question

The angle between the congurent sides of an
isoscales triangle is 60° then find the measure
a the remaining angles and hence
prove that the triangle is equilateral​

Answer 1

Answer:

The angles are 60°,60°and 60°

Step-by-step explanation:

60°+60°+x=180°

120°+x=180°

x=180°-120°

x=60°

Answer 2

Step-by-step explanation:

$\: Let \: the \: angles \: be \: x \: , x \: , 60 \\ \\ </strong></p><p></p><p>Sum \: of \: all \: the \: angles \: of \: \: the \: triangle = 180° \\ \\ </p><p></p><p>x + x + 60 = 180 \\ \\ </p><p></p><p>2x + 60 = 180 \\ \\ </p><p></p><p>2x = 180 - 60 \\ \\ </p><p></p><p>2x = 120 \\ \\ </p><p></p><p>x = 120/2 \\ \\ </p><p></p><p>x = 60° \\ \\ \\ </p><p></p><p><strong>Now \: Check \\ \\ </strong></p><p></p><p>60 + 60 + 60 = 180° \\ \\ </p><p></p><p><strong>Hence \: Verified \\ \\ </strong></p><p></p><p>This \: is \: equallateral\: ∆$