Question

Find the values of x and y

Answer 1

x = 90

y = 43

Explanation:

`In\: \triangle ABC\\</p><p>AB = AC.... (given)</p><p>\therefore m\angle ABC = m\angle ACB\\` (Property of isosceles triangle)

`\because m\angle ACB = 47\degree \\</p><p>\therefore m\angle ABC = 47\degree \\</p><p>2y\degree + 47\degree+47\degree = 180\degree \\</p><p>2y\degree + 94\degree= 180\degree \\</p><p>2y\degree = 180\degree - 94\degree \\</p><p>2y\degree = 86\degree \\\\</p><p>y = (86\degree)/(2) \\\\</p><p>y\degree = 43\degree \\\\</p><p>\huge \purple {\boxed {y = 43}} \\\\`

x° + y° + 47°=180°

x° + 43° + 47°=180°

x ° + 90° = 180°

x ° = 180° - 90°

x° = 90°

x = 90