Kenneth S. answered • 09/28/16

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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

STEP 1: ANGLE 1 = ANGLE 2 GIVEN. Note I just type = because it's easier, PLUS there is nothing else about angles being congruent other than the fact that their measurements are the same.

STEP 2: ANGLE 1 IS EQUAL TO ANGLE 3 VERTICAL ANGLES ARE EQUAL.

STEP 3: ANGLE 1 = ANGLE 2 = ANGLE 3 Transitive property of equality, combining steps 1 & 2 (quantities equal to a third quantity are equal to each other).

STEP 4: ANGLE 2 = ANGLE 4 VERTICAL ANGLES ARE EQUAL.

STEP 5: ANGLE 3 = ANGLE 4 Because each of these equals ANGLE 2 (TRANSITIVE PROPERTY OF =, see steps 3 & 4)

Q. E. D.

Shubh D.

09/28/16