Question

Match the following with the values of 'x'.

• A. ${91}^{\circ }$
• B. ${95}^{\circ }$
• C. ${92}^{\circ }$

Answer 1

By linear pair property, $\angle DCB={87}^{\circ }$
Now, by angle sum property of a quadrilateral, we must have,
$x={360}^{\circ }-({95}^{\circ }+{87}^{\circ }+{87}^{\circ })={91}^{\circ }$

By linear pair property, $\angle DCB={75}^{\circ }$ and $\angle ABC={100}^{\circ }$
Now, by angle sum property of a quadrilateral, we must have,
$x={360}^{\circ }-({75}^{\circ }+{100}^{\circ }+{90}^{\circ })={95}^{\circ }$

By angle sum property of a quadrilateral, we must have,
$x={360}^{\circ }-({87}^{\circ }+{88}^{\circ }+{93}^{\circ })={92}^{\circ }$