Question

Consider kite WXYZ.
Kite W X Y Z is shown. The length of X Y is 3 a minus 5 and the length of Y Z is a + 11. Angle W is 50 degrees, angle X is (3 b) degrees, and angle Y is 70 degrees.
What are the values of a and b?
a = 4; b = 10
a = 4; b = 40
a = 8; b = 10
a = 8; b = 40

Answer 1

Answer:

• a = 8; b = 40

Step-by-step explanation:

See attached

Given

Kite WXYZ with:

• XY = 3a - 5
• YZ = a + 11
• ∠W = 50°
• ∠X = 3b
• ∠Y = 70°

To find

• Values of a and b

Solution

Since XY and YZ are congruent sides, XY = YZ

• 3a - 5 = a + 11
• 3a - a = 11 + 5
• 2a = 16
• a = 8

The angles Z and X are equal and the sum of 4 angles is 360°, therefore:

• 3b + 3b + 50° + 70° = 360°
• 6b + 120° = 360°
• 6b = 240°
• b = 40°

Correct option is the last one

• a = 8; b = 40°

Answer 2

Answer:

a = 8; b = 40  btw question answer is 62 and 15 and the very next one is 21 and the next one is 119 and 105

Step-by-step explanation: BECAUSE I JUST GOT IT RIGHT .