Question

Find the supplement of the
complement of angle A if angle A = 82°.

Answer 1

172

Step-by-step explanation:

complementary angle of angle A is 90 - 82 = 8

supplementary angle of complementary angle of angle A is 180 - 8 = 172

Answer 2

172°

Step-by-step explanation:

First, we will find the complement of 82.

Recall that complemntary angles add up to 90 degrees.

So, to find the complement of 82, we can set up an equation:

`\sf{x+82=90}`

Solve for x.

`\sf{x=90-82}`

`\sf{x=8\textdegree}`

Now, supplementary angles add up to 180°.

So once again, we set up an equation to solve for x. Only this time, x = the supplement of 8.

`\sf{x+8=180}`

`\sf{x=180-8}`

`\sf{x=172\textdegree}`

Hence, the answer is 172.