Question

In the figure given below, ABCD is a parallelogram. From the given options, select what could be the values of either $x$ or $y$.

• A. 45°
• B. 65°
• C. 75°
• D. 80°

Answer 1

Answer: (A), (C)

The correct options are
A

45°

C

75°

$(3x-10{)}^{\circ }$ = $(x+80{)}^{\circ }$ (opposite angles of a parallelogram are equal)

$2x={90}^{\circ }$

$x={45}^{\circ }$

$({135}^{\circ }-10{)}^{\circ }+(y+25{)}^{\circ }={180}^{\circ }$ (Adjacent angles of a parallelogram are supplementary)

${125}^{\circ }+y+{25}^{\circ }={180}^{\circ }$

$y={180}^{\circ }–{125}^{\circ }-{25}^{\circ }$

$={30}^{\circ }$