Question

Given the following diagram, if m∠1 = m∠4, then all of the following must be complementary angles except

angles 1 and 2
angles 1 and 3
angles 2 and 3
angles 2 and 4

Answer 1

The answer is : angles 2 and 3

Answer 2

Answers

angles 2 and 3

Step-by-step explanation

From the diagram we have been told that <1 and <4 are equal.

Then <2 = <3 is true.

Complementary angles are two angles whose sum is 90°

<1 + <2 = 90°

angles 1 and 2 ⇒ They are complementary angles

<1 + <3 = 90°

angles 1 and 3 ⇒ They are complementary angles

<2 + <4 = 90°

angles 2 and 4 ⇒ They are complementary angles

angles 2 and 3 are equal but they are not complementary.