Question

2. In the figure, is an exterior angle to .

Answer 1

Answer:

measure of angle 4 is 75°

Step-by-step explanation:

In triangle ALU: m∠3=180° - (55°+20°)=105°

LAP is a straight angle then: m∠3 + m∠4 = 180°

∴m∠4 = 180° - 105° = 75°

∵m∠LUA+m∠ALU= 20°+55°=75°

∴M∠4=m∠LUA+m∠ALU

∴∠4 equal the measures of the two non-adjacent interior angle and its called by the exterior angle of the triangle