Question

Name the property used for finding the value of y. *
Opposite sides are equal
opposite angles are equal
Adjacent angles are supplementary
none of these
2. Name the property used for finding the value of x from the above figure *
Opposite sides are equal
opposite angles are equal
Adjacent angles are supplementary
none of these
3. Find the value of x from the given figure *
10
32
24
46
4. Find the value of y from the given figure. *
60
20
90
30

Answer 1

Answer:

1. opposite angels are equal

2. adjacent angles are supplement

3. 10

4. 20

Answer 2

$\large\underline\purple{\bold{Solution :- }}$

Answer : 1.

• Opposite angles are equal.

Answer : 2.

• Adjacent angles are equal.

Answer : 3.

• Since, ABCD is a parallelogram.

Therefore,

$\rm :\implies\: \boxed{ \pink{ \bf \: \angle \: A \: + \: \angle \: B \: = \tt \: 180 \degree}}$

$\rm :\implies\:5x + 10 + 120 = 180$

$\rm :\implies\:5x + 130 = 180$

$\rm :\implies\:5x = 180 - 130$

$\rm :\implies\:5x = 50$

$\rm :\implies\:x \: = \: 10$

Answer : 4.

• Since, ABCD is a parallelogram.

Therefore,

$\rm :\implies\: \boxed{ \pink{ \bf \: \angle \: B \: = \angle \: D \tt \: }}$

So,

$\rm :\implies\:6y = 120$

$\rm :\implies\:y \: = \: 20$