Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider kite wxyz. what are the values of a and b? o a = 4; b = 10 o a…

Question

consider kite wxyz. what are the values of a and b? o a = 4; b = 10 o a = 4; b = 40 o a = 8; b = 10 o a = 8; b = 40

Explanation:

Step1: Use the property of adjacent sides of a kite

In a kite, two pairs of adjacent sides are equal. So, \(3a - 5=a + 11\).

$$ LATEXBLOCK0 $$

Step2: Use the property of sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\). So, \(50^{\circ}+3b^{\circ}+70^{\circ}+(3b)^{\circ}=360^{\circ}\).

$$ LATEXBLOCK1 $$

Answer:

\(a = 8;b = 40\)