Drag an answer to each box to complete this paragraph proof. given: ∠abc and ∠cbd are complementary angles and m∠abc=25° prove: m∠cbd=65° it is given that ∠abc and ∠cbd are . so, m∠abc+m∠cbd=90° using the . it is also given that m∠abc=25° . using the substitution property of equality, you have + m∠cbd=90° . therefore, using the subtraction property of equality, m∠cbd=65°

A. Complementary angles.

B. property of complementary angles .

C. .

Step-by-step explanation:

Given and are complementary angles.

To prove that

We know that when two angles are complementary then their sum is given by

By using the property of complementary angles.

Is is given that

By using the subsitution property of equality , we have

Therefore, by using subtraction property of equality , we have

Hence, .

Hence proved.

-4

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.