In a figure, one complementary angles has a measure of 36 and the other as a measure of ( x - 3) . What is the value of x and the value of the unknown angle measure?

Question

x = _, unknown angle measure = __

Answer 1

Complementary angles sum up to 90 degrees. Let's denote the measures of the two angles as:

\[ \text{First angle} = 36^\circ \] \[ \text{Second angle} = x - 3 \]

Since they are complementary, we can write the equation:

\[ 36 + (x - 3) = 90 \]

Now, simplify the equation:

\[ 36 + x - 3 = 90 \] \[ x + 33 = 90 \]

Next, isolate \(x\) by subtracting 33 from both sides:

\[ x = 90 - 33 \] \[ x = 57 \]

Now, we can find the measure of the unknown angle:

\[ \text{Unknown angle measure} = x - 3 = 57 - 3 = 54 \]

So, the final answers are:

\[ x = 57, \quad \text{unknown angle measure} = 54 \]