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 point)

Question

x=__ , unknown angle measure = __
fill in the planks

Answer 1

We know that the sum of the measures of complementary angles is 90°.

Let the unknown angle measure be y°.

According to the given information, the complementary angle to the 36° angle is (x-3)°.

So, we have the equation:

36° + (x-3)° = 90°

Simplifying the equation:

x - 3 + 36 = 90

x + 33 = 90

Subtracting 33 from both sides:

x = 90 - 33

x = 57

Therefore, the value of x is 57.

To find the value of the unknown angle measure, we substitute the value of x into the equation:

y° = x - 3

y° = 57 - 3

y° = 54

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

Answer:
x = 57, unknown angle measure = 54