Question

Please answer this question10

Answer 1

$\large \tt AHOY!! \:$

let all angles of the parallelogram be A,B,C and D.

given that the opposite angles of the parallelogram are (3x - 2)° and (x + 48)°

we know that opposite angles of a parallelogram are equal.

therefore A = C

=> 3x - 2 = x + 48

=> 3x - x = 48 + 2

=> 2x = 50

=> x = 50/2

=> x = 25°

hence, the opposite angles measures,

→ A = C (3x - 2)° = (3 × 25) - 2

= 75 - 2

= 73°

now, we have to find all angles of the parallelogram.

the sum of adjacent angle of a parallelogram is 180°

=> A + B = 180° and B = D (since opposite angles are equal)

=> 73° + B = 180°

=> B = 180° - 73°

=> B = D = 107°

hence, all angles of the parallelogram are 73°, 107°, 73° and 107°

$\large \tt HOPE \: THIS \: HELPS!!$