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A triangles sum of angle measurement = 180°

Set all angles = 180°

40 + y + y + 30 = 180

Simplify. Combine like terms

2y + 70 = 180

Isolate the y. Note the equal sign. What you do to one side you do to another. Do the opposite of PEMDAS.

Subtract 70 from both sides

2y + 70 (-70) = 180 (-70)

2y = 180 - 70

2y = 110

Isolate the y. Divide 2 from both sides

2y/2 = 110/2

y = 110/2

y = 55

55° or (D), is your answer

hope this helps

The value of y is 55°. the correct option is D. 55°

The diagram shows a triangle with angles y°, 40° and y + 30°.

To determine the value of y, we will add up all the angles and then equate it to 180°

That is,

y° + 40° + y + 30° = 180°

(NOTE: Sum of angles in a triangle equals 180°)

Now, we will solve for y in the above equation

y° + 40° + y + 30° = 180°

First, collect like terms

y° + y° = 180° - 40° - 30°

2y° = 110°

∴ y° = 110° ÷ 2

y° = 55°    

Hence, the value of y is 55°. the correct option is D. 55°

Learn more here: https://brainly.com/question/17198866

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