Question

Given: l | | m

m∠4 = 105° and m∠6 = 50°.

m∠2 =
 
 50°
 55°
 75°

Answer 1

x = 55°

Explanation:

<4 = 105

<4 + <3 = 180 (supplementary angles, form a line)

180-105= 75

<3 = 75

The interior angles of a triangle always equal 180 degrees.

<3 = 75 degrees, <6 = 50, <2 = x

75+50+x = 180

125 + x = 180

x = 55°

Answer 2

x = 55°

Explanation:

<4 = 105

<4 + <3 = 180 (supplementary angles, form a line)

180-105= 75

<3 = 75

The interior angles of a triangle always equal 180 degrees.

<3 = 75 degrees, <6 = 50, <2 = x

75+50+x = 180

125 + x = 180

x = 55°