Respuesta :

youngws2000

Answer:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

linandrew41

Let's take this problem step-by-step:

Both problems involve triangles:

 ⇒ let's find out the sum of the interior angle w/ formula 180(n-2)

        Total Interior Angle Sum of Triangle = 180(3-2) = 180

Let's solve the first problem (A)

   ⇒ we know the total interior angle sum is 180 degrees

   ⇒ we know that two of the angles are 30 degrees and 90 degrees

        * any angle with a square on them is 90 degrees

   ⇒ therefore:

           30 + 90 + y = 180

              120 + y= 180

                    y = 60

Let's solve the second problem:

  ⇒ the angle opposite the exterior angle, 120 degrees, is on a flat line

        with it

        ⇒ therefore it is 60 degrees

            ⇒ two angles on a flat line equal 180 degrees

   ⇒ two angles are therefore 60 degrees

    ⇒ therefore:

                     60 + 60 + y = 180

                          120 + y = 180

                                  y = 60

Answer:

  • (A) y= 60
  • (B) y =60

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