Question

In a parallelogram ABCD, $\angle B=(2x+25{)}^0$ and $\angle D=(3x-5{)}^0$. Find:
(i) The value of $x$
(ii) Measure of angle.

• A. x=30, b=91 degrees, d=89 degrees
• B. x=32, b=91 degrees, d=89 degrees
• C. x=30, b=89 degrees, d=91 degrees
• D. x=32, b=89 degrees, d=91 degrees

Answer 1

Answer: (D)

x=32, b=89 degrees, d=91 degrees

In $\parallel gm$ opposite angles are supplementary.

Therefore,

$\angle B+\angle D={180}^{\circ }$

$2x+25+3x-5={180}^{\circ }$

$x=\frac{180-20}{5}=32$

$\angle B=2x+25=(2\ast 32)+25={89}^{\circ }$

$\angle D=3x-5=(3\ast 32)-5={91}^{\circ }$