Question

The difference of two supplementary angle is 30 degree, then the larger angle is

Answer 1

Answer)Let the angles be a and b

sum of two supplementory angles

a+b=180 degree

a-b=30 degree

Adding both equations

a+b=180

a-b=30

=2a=210

a=210/2

a=105degree and b =75 degree

hence the larger angle is 105 degree

Answer 2

Answer:

The larger angle measures 105°.

Step-by-step explanation:

• Let us take the larger supplementary angle to be x°.

• So, the smaller angle will be (x - 30)°.

Two angles are called supplementary when their measures add up to 180 degrees.

So,

x° + (x - 30)° = 180°

⇒ 2x° - 30° = 180°

⇒ 2x° = 180° + 30° = 210°

⇒ x° = (210/2)°

⇒ x° = 105°

⇒ (x - 30)° = 75°

Let us verify our answer:

105° - 30° = 75°

⇒ 105° + 75° = 180°

180° = 180°

L.H.S = R.H.S

Hence, the answer derived is correct.  

Hope it helps!