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

2. In the figure, is an exterior angle to .-example-1
User Slsy
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1 Answer

2 votes

Answer:

measure of angle 4 is 75°

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

User Amotzg
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