Question

Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary. Prove: Angle 1 = Angle 3 Statements: Reasons 1. Angle 1 and angle 2 are complementary. 1. Given Angle 2 and angle 3 are complementary. 2. M angle 1 + m angle 2= 90 degrees 2. Definition of complementary m angle 2 + m angle 3= 90 degrees 3. ? 3. ? 4.? 4.? 5.? 5.? 6.? 6.?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

$\because \angle 1$ and $\angle 2$ are complementary.

$\therefore m\angle 1+m\angle 2=90\degree... (1)$

$\because \angle 2$ and $\angle 3$ are complementary.

$\therefore m\angle 2+m\angle 3=90\degree... (2)$

From equations (1) & (2), we find:

$m\angle 1+m\angle 2=m\angle 2+m\angle 3$

$m\angle 1+m\angle 2-m\angle 2=m\angle 3$

$m\angle 1=m\angle 3$

Thus proved.