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2 years ago

If WXY is equilateral and WZY is isosceles, find each missing measure.

Mathematics

2 answers:

timurjin [86]2 years ago

7 0

Answer:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

Step-by-step explanation:

ΔWXY is a equilateral angle,

Therefore, all angles of the the triangle are equal in measure.

m∠W + m∠X + m∠Y = 180°

3m∠W = 180°

m∠W = 60°

Since, ΔWZY is an isosceles triangle,

m∠3 = m∠5

m∠3 + m∠Z + m∠5 = 180°

m∠3 + 138° + m∠3 = 180°

2m∠3 = 180 - 138

m∠3 = 21°

Therefore, m∠3 = m∠5 = 21°

Since, m∠2 + m∠3 = 60°

m∠2 = 60 - 21

= 39°

Since, m∠4 + m∠5 = 60°

m∠4 = 60 - 21

= 39°

m∠1 = 60°

kogti [31]2 years ago

7 0

Answer:whar he said

Step-by-step explanation:

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