Question

find the values of x and y

Answer 1

Answer:

x = 90

y = 43

Step-by-step explanation:

$In\: \triangle ABC\\

AB = AC.... (given)

\therefore m\angle ABC = m\angle ACB$ (Property of isosceles triangle)

$\because m\angle ACB = 47\degree \\

\therefore m\angle ABC = 47\degree \\

2y\degree + 47\degree+47\degree = 180\degree \\

2y\degree + 94\degree= 180\degree \\

2y\degree = 180\degree - 94\degree \\

2y\degree = 86\degree \\\\

y = \frac{86\degree}{2} \\\\

y\degree = 43\degree \\\\

\huge \purple {\boxed {y = 43}}$

x° + y° + 47°=180°

x° + 43° + 47°=180°

x ° + 90° = 180°

x ° = 180° - 90°

x° = 90°

x = 90