Question

I need help with this please

Answer 1

∠ 1 = 144°, ∠ 2 = 36°

Explanation:

∠ 1 and ∠ 2 are adjacent angles and sum to 180° , that is

6x + x + 12 = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = 6x = 6(24) = 144°

∠ 2 = x + 12 = 24 + 6 = 36°

Answer 2

x = 24°

Explanation:

here's your solution

=> measure of angle 1 = (6x)°

=> measure of angle 2 = (x + 12)°

=> we know that The sum of angles on a straight line is equal to 180°

=> so, (6x)° + (x + 12°) = 180°

=> 7x + 12° = 180°

=> 7x = 180° - 12°

=> 7x = 168°

=> x = 168°/7

=> x = 24°

=> angle 1 = 24°×6 = 144°

=> angle 2 = 24° + 12 = 36°

hope it helps 【◆◆】