Question

Find the measure of ∠C.

Answer 1

20 degrees

Explanation:

The interior angles of a triangle must add to 180 degrees. Therefore,

∠A+∠B+∠C=180

We know that ∠A is 87, and ∠B is 73. So, we can substitute 87 in for ∠A, and 73 in for ∠B.

87+73+∠C=180

Combine like terms

160+∠C=180

Since we are trying to find ∠C, we have to get ∠C by itself. 160 is being added on to ∠C. Subtract 160 from both sides, because subtraction is the opposite of addition.

160-160+∠C=180-160

∠C=180-160

∠C=20

So, the measure of ∠C is 20 degrees

Answer 2

Answer: C = 20 degrees.

Explanation:

All angles in any triangle add to 180 degrees.

You have two angle measures: 73 and 87 degrees.

Solving for the last angle measure:

`180 = 87 + 73 + x\\180 = 160 + x\\20 = x`

The last degree measure equals 20 degrees.