Question
ABCD is a parallelogram in which $\angle\text{A}=70^\circ$ Compute $\angle\text{B},\angle\text{C}$ and $\angle\text{D}$.
✓
Answer
In a parallelogram ABCD$\angle\text{A}=70^\circ$
$\angle\text{A}+\angle\text{B}=180^\circ$ [Since, adjacent angles are supplementary]
$70^\circ+\angle\text{B}=180^\circ$ $[\because\angle\text{A}=70^\circ]$
$\angle\text{B}=1800-70^\circ$
$\angle\text{B}=110^\circ$
In a parallelogram opposite sides are equal.$\angle\text{A}=\angle\text{C}=70^\circ$
$\angle\text{B}=\angle\text{D}=110^\circ$
$\angle\text{A}+\angle\text{B}=180^\circ$ [Since, adjacent angles are supplementary]
$70^\circ+\angle\text{B}=180^\circ$ $[\because\angle\text{A}=70^\circ]$
$\angle\text{B}=1800-70^\circ$
$\angle\text{B}=110^\circ$
In a parallelogram opposite sides are equal.$\angle\text{A}=\angle\text{C}=70^\circ$
$\angle\text{B}=\angle\text{D}=110^\circ$
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
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:$\frac{6}{\sqrt{5}+\sqrt{3}}$
→Rationales the denominator and simplify:$\frac{5+2\sqrt3}{7+4\sqrt3}$
→Find the following ratios : The ratio of radius to circumference of the circle.
Evaluate the following:
$104^3+96^3$
→$104^3+96^3$
If O is the centre of the circle, find the value of x in the following figure:
Read the following bar graph and answer the following questions:
- What is the information given by the bar graph?
- State each of the following whether true or false.
- The number of government companies in 1957 is that of 1982 is 1 : 9.
- The number of government companies has decreased over the year 1957 to 1983.
The perimeter of a parallelogram is 22cm. If the longer side measures 6.5cm, what is the measure of shorter side?
If $\frac{a}{3}=\frac{b}{2}$ then find the value of the ratio $\frac{5 a+3 b}{7 a-2 b}$.
→Observe figure 3.4 and find the measures of ∠PRS and ∠RTS.
Factorise:
$(5 a-7 b)^3+(7 b-9 c)^3+(9 c-5 a)^3$
→$(5 a-7 b)^3+(7 b-9 c)^3+(9 c-5 a)^3$