Question

The adjacent angles of a parallelogram are (2x - 4)⁰ and (3x – 1)⁰. find the measures of all angles of the parallelogram.

Answer 1

(sum of adjacent
angles of parallelogram is 180.)
(2x-4)+(3x-1)=180
5x-5=180
5x=180+5
5x=185
x=185/5
x=37
2x-4=2×37-4=74-4=70
3x-1=3×37-1=111-1=110

Answer 2

Answer:

Angles of parallelogram  are  70° , 110°  , 70° , 110°

Step-by-step explanation:

The adjacent angles of a parallelogram are (2x - 4)⁰ and (3x – 1)⁰. find the measures of all angles of the parallelogram.

Sum of adjacent angle of parallelogram  = 180°

=>  (2x - 4)⁰ + (3x – 1)⁰ = 180°

=>   (5x - 5)⁰ = 180°

=> 5(x - 1)° = 180°

=> (x - 1)° = 36°

=> x = 37°

2x - 4 = 2 * 37 - 4  =  70°

3x – 1 = 3 * 37 - 1 =  110°

opposite angles are equal in parallelogram

Angles of parallelogram  are  70° , 110°  , 70° , 110°