Question
In a parallelogram $ABCD$, write the sum of angles $A$ and $B.$
✓
Answer
In Parallelogram ABCD, $\angle\text{A}$ and $\angle\text{B}$ are adjacent angles. Thus, $AB \| DC$. Then, we have $\angle\text{A}$ and $\angle\text{B}$ as consecutive interior angles which must be supplementary. $\angle\text{A}+\angle\text{B}=180^\circ$ Hence, the sum of $\angle\text{A}$ and $\angle\text{B}$ is $180^\circ $.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Expand:
$(a-2 b-3 c)^2$
→$(a-2 b-3 c)^2$
Plot the ordered pairs $(x, y)$ of numbers as points in the Cartesian plane. Use the scale $1cm = 1$ unit on the axes
→| $x$ | $-3$ | $0$ | $-1$ | $4$ | $2$ |
| $y$ | $7$ | $-3.5$ | $-3$ | $4$ | $-3$ |
Simplify the following: $\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
→Factorise:
$4 x^2+9 y^2+16 z^2+12 x y-24 y z-16 x z$
→$4 x^2+9 y^2+16 z^2+12 x y-24 y z-16 x z$
It being given that $\sqrt{3}=1.732,\sqrt{5}=2.236,\sqrt{6}=2.449$ and $\sqrt{10}=3.162,$ find to three places of decimal, the value of the following: $\frac{1}{\sqrt{6}+\sqrt{5}}$
→Look at the bar graph given below.
Find the values of $x$ in each of the following:$\Big(\sqrt{\frac{3}{5}}\Big)^{\text{x}+1}=\frac{125}{27}$
→Factorise: $\text{x}^4+\frac{4}{\text{x}^4}$
→Rationalise the denominator of the following: $\frac{2}{3\sqrt{3}}$
→A cone, a hemisphere, and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio $1 : 2 : 3.$
→