Question

14. The adjacent angles of a parallelogram are (3x +10°
and (3x - 4)º. Find the measure of all the angles of
parallelogram.​

Answer 1

Answer:

sum of interior angle of a parallelogram is 180

so 3x+10+3x-4=180

6x+6=180

6x=174

x=29

angles are 97,83,97,83

Answer 2

Explanation:

(3x+10) + (3x-4) = 180° {Adjacent angles in a parallelogram are supplementary}

6x + 6 = 180°

6x = 174°

Therefore, x= 29

{3×29+10}= 97°

{3×29 -4}= 83°

The top ones will be repeated as opposite angles in a parallegrom are equal

So, the measure of all angles are: 97°, 83°, 97°, 83°

Now, opposite angles in a parallelogram are equal

So, (3x+10)° + (3x-4)° + (3x+10)° + (3x-4)°

=> { 3×29 + 10} + { 3×29 -4} + { 3×29 + 10} + { 3×29 -4}

=> 194° + 166°

=> 360°