Respuesta :

Answer:

m<3=24

m<5=24

Step-by-step explanation:

So we know that the sums of the angle measures of a triangle equal 108 degrees. So what we would do is 180 - 138 to get 42. From there we would divide by 2. To get what angle measure 3 and 5 are equal to. And in this case it would be 24 degrees.

Answer: m<1=60

m<2=39

m<3=21

m<4=39

m<5=21

Step-by-step explanation:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

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°

BRAINLIST PLEASE!