<u>Let's take this problem step-by-step</u>:
<u>Both problems involve triangles</u>:
⇒ let's find out the sum of the interior angle w/ formula 180(n-2)
<em> Total Interior Angle Sum of Triangle = 180(3-2) = 180</em>
<u>Let's solve the first problem (A)</u>
⇒ we know the total interior angle sum is 180 degrees
⇒ we know that two of the angles are 30 degrees and 90 degrees
* <em>any angle with a square on them is 90 degrees</em>
⇒ therefore:
30 + 90 + y = 180
120 + y= 180
y = 60
<u>Let's solve the second problem</u>:
⇒ 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
<u>Answer:</u>
- <u>(A) y= 60</u>
- <u>(B) y =60</u>