Question

If the larger of two supplementary angles exceeds the smaller by 16 degrees, then the smaller angle is _________________ degrees.

please could anyone send the answer quickly i am a little confused in this question.

Answer 1

Answer:

82

Step-by-step explanation:

Let the smaller angle be y

X+y=180

also

x=y+16

therefore,

2y=164

Hence y=82

Answer 2

Answer:

The smaller angle is 82°.

Step-by-step explanation:

Given: Two supplementary angles

Let, the smaller of the two angles be x.

Let, the larger of the two angles be y.

According to the given condition:

⇒ y = x + 16

Also we know that, the sum of two supplementary angles are 180°.

⇒ x + y = 180

Now, we will substitute the equation y = x + 16 in the equation x + y = 180

⇒ x + x + 16 = 180

⇒ 2x = 180 - 16

⇒ 2x = 164

⇒ x = 82°

Therefore, the smaller of the two supplementary angles is 82°.