Question

if two adjacent angles of rhombus are (5x+20)° and (3x-8) °, then find all the angles of rhombus ​

Answer 1

Sum of adjacent angles of a rhombus = 180°

According to condition,

(5x+20)+(3x-8) = 180

or, 8x+12 = 180

or, 8x = 180-12

or, 8x = 168

or, x = 168/8

or, x = 21

(5x+20)° = {(5×21)+20}° = (105+20)° = 125°

(3x-8)° = {(3×21)-8}° = (63-20)° = 55°

Since, the opposite angles of a rhombus are equal, all its angles are 125°, 55°, 125° and 55°.