Question

Find the value of x and y from the given figure​

Answer 1

Answer:

In above figure,

BD = CD

means the angle opposite to these sides are also equal

angle DBC = angle BCD = 30°

In triangle ABC

Sum of all the angles of triangle =180°

angle ABC + angle BCD + angle BAC =180°

(70°+30°) + 30° + x =180°

130° + x=180°

x =180° - 130°

x = 50°

In triangle ABD

Sum of all angles = 180°

x + angle ABD + angle ADB =180°

50° + 70° + y = 180°

120° +y =180°

y = 60°