Question

If the adjacent angles of a parallelogram are (2×-5)° and (3×10); find the angles of the parallelogram.​

Answer 1

Answer:

Step-by-step explanation:

we know that sum of adjacent angle in a parallelogram is 180.

(2x+5)+(3x+10)=180

2x+5+3x+10=180

5x +15=180

5(x+3)=180

x+3=180/5

x+3=36

x=36-3

x=33

∴the first angle is 2*33+5=66+5=71

the second angle is 3*33+10=109.

since the opposite angles are equal in a parallelogram,two angles are 71°and the other two angles are 109°.

hope the answer is helpful!!