Question

2 facts about 3 triangles are as follows

Angle L and angle P are complementary
Angle P and angle W are complementary

which statement is true?
angle P is obtuse
m angle L= m angle W
angle L and angle W are complementary
m angle L+m angle P= m angle W >180 degrees

Answer 1

From the given:
L + P = 90° and P + W = 90°.

Set them equal: L + P = P + W. Subtract P from both sides: L = W.

So the true statement is: m∠L = m∠W.

(Other choices are false: P cannot be obtuse because it is complementary to L, L and W are not necessarily complementary, and L+P = 90° so cannot be >180°.)