SOLUTION: Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. m∠1 = 45°, m∠4 = (9x)°

Algebra ->  Triangles -> SOLUTION: Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. m∠1 = 45°, m∠4 = (9x)°       Log On


   

Question 918130: Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠1 = 45°, m∠4 = (9x)°
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Angle Addition Postulate
If the sum of the two angles measure up to 90°, then the angles are called to be ‘complementary angles’.
m∠1 = 45°, m∠4 = (9x)° => m∠1%2B4 is 45%2B+%289x%29=90°
=> m∠4 +9x=90-45°
=> m∠4 +9x=45°
=> m∠4 +x=45%2F9°
=> m∠4 +x=5°
so, => m∠4 +45°

If the sum of the two angles measure up to 180°, then the angles are called to be ‘supplementary angles’.
m∠1 = 45°, m∠4 = (9x)° => m∠1%2B4 is 45%2B+%289x%29=180°
=> m∠4 +9x=180-45°
=> m∠4 +9x=135°
=> m∠4 +x=135%2F9°
=> m∠4 +x=15°
so, => m∠4 +135°

The angles sharing a common side are called as ‘adjacent angles’.
they cannot be ‘adjacent angles’ because their sum is not given