Q:

What is the value of y?Y + 30°A. 85°B. 55 c. 110°D. 10°​

Accepted Solution

A:
Answer:B. 55°Step-by-step explanation:Note that the total angle measurements of a triangle is = 180°.Add all the measurements together: 40 + y + 30 + y = 180Simplify. Combine like terms: (40 + 30) + (y + y) = 18070 + 2y = 180Isolate the y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract, then divide.Subtract 70 from both sides:70 (-70) + 2y = 180 (-70)2y = 180 - 702y = 110Divide 2 from both sides: (2y)/2 = (110)/2y = 110/2y = 55B. 55° is your answer.~