Question

10th grade geometry Help!!!

Answer 1

m∠W = (4x)° = 4 × 18 = 72°

m∠Y = (3x)° = 3 × 18 = 54°

m∠Z = (3x)° = 3 × 18 = 54°

Explanation:

m∠W = (4x)°

m∠Y = (3x)°

m∠Z = (3x)°

i.e.,

We Know That,

The sum of a Triangle is 180°

So,

m∠W + m∠Y + m∠Z

i.e.,

(4x)° + (3x)° + (3x)° = 180°

10x° = 180°

x = 180/10

x = 18°

Now,

m∠W = (4x)° = 4 × 18 = 72°

m∠Y = (3x)° = 3 × 18 = 54°

m∠Z = (3x)° = 3 × 18 = 54°

Thus, x = 18°

FOR VERIFICATION ONLY:

(4x)° + (3x)° + (3x)° = 180°

4 × 18 + 3 × 18 + 3 × 18 = 180

72° + 54° + 54° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist