Substitution Method of Finding Solution of a Pair of LE

Q.

Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are

1. ${140}^{\circ }$, ${20}^{\circ }$, ${120}^{\circ }$, ${80}^{\circ }$

2. ${60}^{\circ }$, ${100}^{\circ }$, ${180}^{\circ }$, ${20}^{\circ }$

3. ${100}^{\circ }$, ${80}^{\circ }$, ${100}^{\circ }$, ${80}^{\circ }$

4. ${60}^{\circ }$, ${120}^{\circ }$, ${60}^{\circ }$, ${120}^{\circ }$

Q.

If $y=11–x$ and $2x–y=4$, we cannot find the value of $x$. Is this statement true or false?

1. True

2. False

Q. A sum of ₹ 9, 000 was divided equally among a certain number of people. If there are 20 more people, each would have got Rs. 160 less. Find the original number of people.

1. 26
2. 25
3. 24
4. 27

Q. In a parallelogram, the sum of adjacent angles is:

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${270}^{\circ }$
4. ${360}^{\circ }$

Q. In a two-digit number, the units digit is twice the ten's digit. Also, if 27 is added to the number, the digits interchange their places. Find the number. $\left[3\text{Marks}\right]$

Q. Find the measure of larger angle of a parallelogram, if larger angle is ${30}^{\circ }$ less than twice the smaller angle

Q. In a parallelogram $ABCD$, if $\angle A={(2x+5)}^o$ and $\angle B={(3x-5)}^o$, find the value of $x$ and the measure of each angle of the parallelogram.