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luda_lava [24]
3 years ago
6

Helppppppppppppppp!!!!!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Hi there!

\large\boxed{\text{ UVY} = 65^o, \text{ VYZ }= 65^o}

We can begin by finding ∠VUY so we can solve for ∠UVY.

∠VUY is supplementary to ∠TUY, so:

180 = 144 + ∠VUY

∠VUY = 36°

In a triangle, angles sum up to 180°, so:

180 = 36° + 79° + m∠UVY

m∠UVY = 65°

Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:

m∠UVY = m∠VYZ = 65°.

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