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please answer this question
in 2 min
please
Answers
1. (a) 120°
2. (b) 60°
3. (d) 72°
4. (d) 35°
5. (a) 40°
6. (d) 60°
7. (c) ASA
8. (d) 25%
9. (a) 10
10. (b) Rs. 304
#NAWABZAADI
1)a
2)b
3)d
4) d
5)a
6)d
7)c
8)d
9)a
10)c
Explanation:
Solutions:-
1)
Given that
l||m and t is a transversal then
60° and z are the interior angles on the same side to the transversal
We know that
the interior angles on the same side to the transversal are supplementary
=> 60°+z = 180°
=> z = 180°-60°
=> z = 120°
2)
Given that x and 60° are alternative interior angles
We know that
Alternative interior angles are equal
=> x = 60°
3)
Let the angle be X°
It's Complement = 90°-X°
Given that
The angle is four times the complement
=> 4(90-X° )= X
=> 360°-4X = X
=> 360° = X+4X
=> 360° = 5X°
=> X = 360/5
=> X = 72°
The angle is =72°
4)
From the figure
125° is the exterior angle formed by extending the side of the triangle
We know that
The exterior angle formed by extending the side of the triangle is equal to the s of the two opposite interior angles.
=> 125° = x+90°
=> x = 125°-90°
=> x = 35°
5)
Given that
In ∆ XYZ
XY = YZ => < Z = < X
Let < Z = < X = a°
And given that
< Y = 100°
We know that
The sum of the all angles in a triangle is 180°
=> a°+a°+100° = 180°
=> 2a° = 180°-100°
=> 2a° = 80°
=> a° = 80°/2
=> a° = 40°
The measure of <Z = 40°
6)
We know that
The sum of the all angles in a triangle is 180°
=> x+ 90°+30° = 180°
=> x+120° = 180°
=> x = 180°-120°
=> x = 60°
7)
< CDA = <CBA
AC = AC
< ADC = < ABC
By ASA property the two triangles are congruent
8)
Total number of students = 40
Number of boys = 10
The percentage of boys = (10/40)×100
=> 100/4
=> 25%
9)
Total number of students = 40
Number of children who are playing football = 25%
=> 25% of 40
=> (25/100)×40
=> 40/4
=> 10
10)
Meenu purchased a coat = Rs.7600
Percentage of sales tax = 4%
=> 4% of 7600
=>4% × 7600
=> (4/100)×7600
=> 4×76
=> 308