Answer:
- a = 8; b = 40
Step-by-step explanation:
<em>See attached</em>
<h3>Given </h3><u>Kite WXYZ with:</u>
- XY = 3a - 5
- YZ = a + 11
- ∠W = 50°
- ∠X = 3b
- ∠Y = 70°
- Values of a and b
<u>Since XY and YZ are congruent sides, XY = YZ</u>
- 3a - 5 = a + 11
- 3a - a = 11 + 5
- 2a = 16
- a = 8
<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>
- 3b + 3b + 50° + 70° = 360°
- 6b + 120° = 360°
- 6b = 240°
- b = 40°
<u>Correct option is the last one </u>
- a = 8; b = 40°
