(3x + 12) + (2x- 32) = 180 . Find the value of x
Answers
Answer:
Step-by-step explanation:
Given Two angles of a parallelogram are (3x + 12) and (2x - 32).
We know that the sum of adjacent angles of a parallelogram is 180.
= > (3x + 12) + (2x - 32) = 180
= > 3x + 12 + 2x - 32 = 180
= > 5x - 20 = 180
= > 5x = 180 + 20
= > 5x = 200
= > x = 40.
Now,
The measure of angle A = 3x + 12
= 3(40) + 12
= 120 + 12
= 132.
The measure of angle B = 2x - 32
= 2(40) - 32
= 80 - 32
= 48.
We know that the opposite angles of a parallelogram are equal.
Hence, the measure of angle C = 132.
Hence, the measure of angle D = 48.
Therefore, the angles are A = 132, B = 48, C = 132, D = 48.
Answer:
Step-by-step explanation:
