# In Î”VWX, \text{m}\angle V = (7x-1)^{\circ}mâˆ V=(7xâˆ’1) âˆ˜ , \text{m}\angle W = (4x+16)^{\circ}mâˆ W=(4x+16) âˆ˜ , and \text{m}\angle X = (3x-17)^{\circ}mâˆ X=(3xâˆ’17) âˆ˜ . Find \text{m}\angle X.Mâˆ X.

1 answer

###### Question:

In Î”VWX, \text{m}\angle V = (7x-1)^{\circ}mâˆ V=(7xâˆ’1) âˆ˜ , \text{m}\angle W = (4x+16)^{\circ}mâˆ W=(4x+16) âˆ˜ , and \text{m}\angle X = (3x-17)^{\circ}mâˆ X=(3xâˆ’17) âˆ˜ . Find \text{m}\angle X.Mâˆ X.

## Answers

Answer:mâˆ X= 22Â°Step-by-step explanation:In Î”VWX:mâˆ V=(7xâˆ’1) âˆ˜ mâˆ W=(4x+16) âˆ˜ ,mâˆ X=(3xâˆ’17) âˆ˜ . Find Mâˆ X.Step 1We find the variable xThe sum of angles in a triangle is 180Â°Hence, Î”VWX = mâˆ V + mâˆ W +mâˆ X180Â° = (7x - 1)Â° + (4x + 16)Â° + (3x - 17)Â°180Â° = 7x - 1 + 4x + 16 + 3x - 17180Â° = 7x + 4x + 3x - 1 + 16 - 17180Â° = 14x -2Collect like terms180Â° + 2 = 14x182Â° = 14xx = 182Â°/14x = 13Â°Step 2We find mâˆ Xmâˆ X = (3xâˆ’17) âˆ˜x = 13mâˆ X = (3 Ã— 13 âˆ’ 17)Â°mâˆ X = (39 âˆ’ 17)Â°mâˆ X = 22Â°

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