Question

HELP DUE IN 15 MINS!

Quadrilateral ABCD is an isosceles trapezoid. Find the values of x and y.

x =?? degrees

° y =?? degrees

Answer 1

x = 16 degrees

y = 28 degrees

Explanation:

1.) ∠A ≈ ∠D since they are base angles: so;

5x = 80

=> divide 5 on both sides:

x = 16 degrees

2.) Now Substitute 16 in for the x-value

5x ⇒ 5(16) = 80,

3.) Since we know the measure of the sum of interior angles is 360° we can say that:

(4y - 12) + 100 + 5(16) + 80 = 360

=> 4y - 12 + 100 + 80 + 80 = 360

=> 4y + 248 = 360

Subtract 248 on both sides of "="

=> 4y = 112

Divide 4 on both sides of "="

=> y = 28

Hope this helps!

Answer 2

Isosceles trapezoid has congruent base angles:

∠A ≅ ∠D and ∠B ≅ ∠C

• 5x = 80
• x = 16

• 4y - 12 = 100
• 4y = 112
• y = 28