In a figure one complementary angle has a measure of 36 and the other has a measure of (x-3) what is the value of x and the value of the unknown angle measure

1 answer

To find the value of x, we need to use the fact that the sum of the measures of complementary angles is always 90 degrees.

Let x be the measure of the unknown angle.

We know that one complementary angle measures 36 degrees, and the other complementary angle measures x - 3 degrees.

Therefore, we can set up the equation:

36 + (x - 3) = 90

Simplifying the equation, we have:

x + 33 = 90

Subtracting 33 from both sides, we get:

x = 57

So, the value of x is 57 degrees.

To find the measure of the unknown angle, we substitute x = 57 into the expression x - 3:

57 - 3 = 54

Therefore, the value of the unknown angle measure is 54 degrees.