If two supplementary angles have equal measure, what is the measure of

1.	If two supplementary angles have equal measure, what is the measure of each angle?
Answer» Let p and q be the two supplementary angles that are equal The two angles are said to be supplementary angles if the sum of those angles is 180° ∠p = ∠q So, ∠p + ∠q = 180° ∠p + ∠p = 180° 2∠p = 180° ∠p = 180°/2 ∠p = 90° Therefore, ∠p = ∠q = 90°

If two supplementary angles have equal measure, what is the measure of each angle?

Answer»

Let p and q be the two supplementary angles that are equal

The two angles are said to be supplementary angles if the sum of those angles is 180°

∠p = ∠q

So,

∠p + ∠q = 180°

∠p + ∠p = 180°

2∠p = 180°

∠p = 180°/2

∠p = 90°

Therefore, ∠p = ∠q = 90°