Respuesta :

Answer:

the correct option is A) [tex]\angle 4 =40\degree[/tex]

Step-by-step explanation:

Given : - Measure of angle 1 is 30°, and the measure of angle 2 is 110° .

We need to find the the angle 4

Since, The sum of interior angles of triangle is [tex]180^{\circ}[/tex]

[tex]\angle 1 + \angle 2 + \angle 4 =180^{\circ}[/tex]

[tex]30^{\circ} +110^{\circ} + \angle 4 =180^{\circ}[/tex]

[tex]140^{\circ} + \angle 4 =180^{\circ}[/tex]

Subtract both the sides by [tex]140^{\circ}[/tex]

[tex]140^{\circ} + \angle 4 -140^{\circ} =180^{\circ} - 140^{\circ}[/tex]

[tex]\angle 4 =180^{\circ} - 140^{\circ}[/tex]

[tex]\angle 4 =40^{\circ}[/tex]

Hence, the correct option is A) [tex]\angle 4 =40^{\circ}[/tex]

Answer:

C. 140

Step-by-step explanation:

Add the two angles, sub from 180 to get 40, then sub 40 from 180 to get 140.