Examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.

m∠a = 97°

m∠b = 15°

m∠c = 68°

m∠d = 68°

Step-by-step explanation:

Since WY and RZ are parallel lines and XR is a transverse,

m∠XWY = m∠XRZ

a = 97°

m∠WYX = 180° - 112° = 68°

In ΔXYW,

m∠WXY = 180° - (m∠XWY + m∠WYX)

              = 180° - (a + 68°)

              = 180 - (97 + 68)

              = 180 - 165

              = 15°

           b = 15°

Since WY and RZ are the parallel lines and XZ is a transverse,

m∠WYX = m∠RZX = 68°

c = 68°

m∠d = m∠c [Alternate interior angles]

d = 68°

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: