Respuesta :

frika

Triangle Angle-Sum Theorem: The sum of the measures of interior angles is equal to 180°.

Then

m∠1+117°+33°=180°,

m∠1+150°=180°,

m∠1=180°-150°,

m∠1=30°.

Answer: option A

Answer:

A.30 degrees

Step-by-step explanation:

We are given that a triangle  in which

[tex]m\angle 2=117^{\circ}[/tex]

[tex]m\angle 3=33^{\circ}[/tex]

We have to find the value of [tex]m\angle 1[/tex]

We know that

[tex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]

Sum of angles of a triangle =180 degrees

[tex]m\angle 1+117+33=180[/tex]

[tex]m\angle 1+150=180[/tex]

[tex]m\angle 1=180-150=30[/tex]

[tex]m\angle 1=30^{\circ}[/tex]

Hence, option A is true .