Respuesta :

The 3 inside angles of a triangle equal 180 degrees.

Angle 1 = 180 - 117 - 33 = 30


The answer is A. 30

Answer: A .30°

Step-by-step explanation:

In the given figure , we are given measures two angles of triangles as [tex]117^{\circ}[/tex] and [tex]33^{\circ}[/tex] .

The Angle sum property of triangle says that the sum of all the angles in a triangle is 180°.

Using Angle sum property , we have

   ∠1+117+33°=180°

⇒∠1+150°=180°  

⇒∠1=180°-150°=30°  [Subtract 150° from both sides.]

hence, the measure of m∠1 = 30°