Question

Ina parallelogram ABCD angle A is 3x-2 and angle C is 2x+23 then the measure of angle A is what

Answer 1

Answer:

Please see the attachment

Answer 2

Answer:

The measure of angle A = 73°

Step-by-step explanation:

Given data

In a parallelogram  ABCD   ∠A = (3x - 2)°

                                             ∠C = (2x + 23)°  

here we need to find the measure of angle A,

for that we will find the value of x

In a parallelogram the opposite side angles are equal

          ⇒     ∠ A = ∠ C    [ ∵ ∠ A and ∠C are opposite side ]

          ⇒    3x - 2 = 2x +23

          ⇒    3x - 2x = 23 + 2

          ⇒       x  = 25

⇒  the measure of angle A = 3x - 2

                                           = 3(25) - 2

                                           = 75 -2 = 73°