Question

1 and 22 are a linear pair, 2 and 3 are a linear pair, and 2 and 4 are vertical angles Which of the following statements is not true?

a. 1=3

b. 2 = 3

C. m 1 + m 4 = 180

d. m 2 + m 3 = 180​

Answer 1

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

Explanation:

If <1 and <2 are linear pair, hence <1 + <2 = 180

If <2 and <3 are linear pair, hence <2 + <3 = 180

Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite

<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4 = 180degrees

The correct options are

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​