Question

An angle measures 174.8° more than the measure of its supplementary angle. What is the measure of each angle?

I need it before 3 / 11 / 23 please

Answer 1

Explanation:

Let x be the measure of the smaller angle.

Since the two angles are supplementary, we have:

x + (x + 174.8°) = 180°

Simplifying the equation gives:

2x + 174.8° = 180°

Subtracting 174.8° from both sides gives:

2x = 5.2°

Dividing by 2 gives:

x = 2.6°

Therefore, the smaller angle measures 2.6°, and the larger angle (which is supplementary) measures:

x + 174.8° = 2.6° + 174.8° = 177.4°