Question

Find the value of u and v ​

Answer 1

<ABD = <BDA =X

2X+62 =180

X= 59

X+U+82 =180⁰

U = 39⁰

<BDC =U

2U+V =180

V = 120⁰

Answer 2

Answer:

let angle ADB = x

angle ADB = angle ABD = x

{side opposite to equal angles are angles}

in triangle ADB

62° + 2x = 180°. {angle sum property}

2x = 118°

x = 59°

82° + u + angle ADB = 180°. { straight line}

82° + u + 59° =180°

141° + u = 180°

u = 39°

u = angle CDB

{ sides opposite to equal angles are equal}

angle CDB = 39 °

Now,

in triangle DCB

39° + 39° + v = 180°. {angle sum property}

78° + v = 180°

v = 102°