Question

PLZZ HELP MEE I NEED HELP

The angle measures of a triangle are 2y + 3 degrees,
9y - 7 degrees, and 7y + 4 degrees. Which of the
following is NOT one of the angle measures of the
triangle?
O A. 23°
O B. 74°
0 C. 83°
OD. 97°

Answer 1

Answer:

D. 97°

Step-by-step explanation:

Step 1:

2y + 3° + 9y - 7° + 7y + 4° = 180°  Sum of Δ

Step 2:

18y = 180°   Algebra

Step 3:

y = 10       Algebra

Step 4:

2 ( 10 ) + 3 = 23°    Algebra

Step 5:

9 ( 10 ) - 7 = 83°   Algebra

Step 6:

7 ( 10 ) + 4 = 74°   Algebra

Answer:

D. 97°

Hope This Helps :)

Answer 2

The angle that isn't part of the angles is 97°

The total sum of the angles that we have in a triangle is 180°

Therefore, based on the information given, the equation to use will be:

2y + 3 + 9y - 7 + 7y + 4 = 180

Collect like terms

18y = 180 - 3 + 7 - 4

18y = 180

y = 180/18

y = 10

1st angle = 2y + 3 = 2(10) + 3 = 23°

2nd angle = 9y - 7 = 9(10) - 7 = 83°

3rd angle = 7y + 4 = 7(10) + 4 = 74°

Therefore, 97° isn't among the angles

In conclusion, the correct option is D

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