The measures of three angles in a triangle are as follows: mZW =(x-15), mZY = (3x-165)", mZZ = 80º, find the measure of each
angle.
I need help with the number 5 please !!

m∠W = 55°

m∠Y = 45°

m∠Z = 80°

Step-by-step explanation:

In order to solve this problem we need to know that the sum of all angel of the triangle is 180°. Knowing this we can make an equation.

m∠W + m∠Y + m∠Z = 180°

Now we can substitute the angle values and find out what x is equal to. So we do...

(x - 15)° + (3x -165)° + 80° = 180°

x° - 15° + 3x° - 165° + 80° = 180°

4x° - 100° = 180°

4x° = 180° + 100°

4x° = 280°

x° = 70°

x = 70

Now we substitute the x and get the measurements of the angels.

m∠W = x° - 15° = 70° - 15° = 55°

m∠Y = 3x° - 165° = 210° - 165° = 45°

m∠Z = 80°

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