Question

1) If the measures opposite angles of a Parallelogram are (60-x)° and (3x-4)°, then find the measures of angles of the Parallelogram.​

Answer 1

Answer:

44, 136, 44, 136

Step-by-step explanation:

Opposite angles of parralellogam are equal,

60 - x = 3x -4

3x + x = 60 +4

4x = 64

x = 16

by substituting x = 16,

angle 1 and angle 3 = 44 while, angle 2 and 4 = 180-44 = 136

hope u found this useful!

Answer 2

Answer:

First we need to find value of x

opposite angles of parallelogram are equal in measure

so,

60-x=3x-4

60+4=3x+x

64=4x

64/4=x

16=x

value of x=16

so,

60-x=60-16=44°

3x-4=3×16-4=44°

180°- 44°=Adjacent angle of 44°

136°=Adjacent angle of 44°

hence,

measure of angles of parallelogram

are:

44°,44°,136°,136°