Question

The adjacent angles of a parallelogram are (2x-12)°and(52+3x)°. Find the measure of all the angles of the parallelogram. ​

Answer 1

Step-by-step explanation:

Sum of adjacent angle of triangle=180degree.

(3x-12)+(52+2x)=180 degree

5x+40=180degree

5x=180-40

5x=140

x=140/5

=28

so

(3x-12)=3*28-12=72

52+2x=52+2*28=108

hope its help

Answer 2

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As we know what adjacent angles are equal to 180°

According to the question :

➡ (2x - 12)° + (52 + 3x)° = 180°

➡ 2x - 12 + 52 + 3x = 180

➡ x + 40 = 180

➡ x = 180 - 40

➡ x = 140°

Therefore

The angles are :

➡(2x - 12)° = 72°

➡(52 - 3x)° = 108°