Question

∠6 and ∠7 form a linear pair. Twice the measure of ∠6 is twelve more than four times the measure of ∠7.Find the measure of each angle.

Answer 1

∠7= 58 ∠6=122

Explanation:

∠6 and ∠7 form a linear pair

Therefore ∠6+∠7=180

And 2∠6= 4∠7+12

2∠7-∠6=-6

Adding both the equation

3∠7 =174

∠7= 58

∠6 = 116+6

∠6 =122

Answer 2

∠7= 58 ∠6=122

Explanation:

∠6 and ∠7 form a linear pair

Therefore ∠6+∠7=180

And 2∠6= 4∠7+12

2∠7-∠6=-6

Adding both the equation

3∠7 =174

∠7= 58

∠6= 116+6=122