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Answers
Explanation:
1.
l || m , t is a transversal then
z +60° = 180°
Since the interior angles on the same side to the transversal are supplementary.
=> z = 180°-60°
=> z = 120°
2.
l || m , t is a transversal then
z = 60°
Since alternative interior angles are equal.
3.
Let the angle be X°
It's complement = 90°-X°
According to the given problem
=> X° = 4(90°-X°)
=> X° = 360°-4X°
=> X°+4X° = 360°
=> 5X° = 360°
=> X° = 360°/5
=> X° = 72°
The angle is 72°
4.
We know that
The exterior angle is equal to the sum of the two opposite interior angles when the side extended a side in the traingle.
=> x°+90° = 125°
=> x° = 125°-90°
=> x° = 35°
The value of x° = 35°
5.
In ∆ XYZ
XY = YZ => < Z = <X
Since the angles opposite to the equal sides are equal.
=> <X+<Y+<Z = 180°
=> <Z+100°+<Z = 180°
=> 2<Z = 180°-100°
=> 2<Z = 80°
=> <Z = 80°/2
=> <Z = 40°
6.
The sum of the all angles in a triangle is 180°
=> 30°+90°+x = 180°
=> 120° +x = 180°
=> x = 180°-120°
=> x = 60°
7. ASA Property
8.
Percentage of boys = (Number of boys / Total boys )×100
=> (10/40)×100
=> (1/4)×100
=> 100/4
=> 25%
9.
People who plays foot ball
=> 25% of 40
=> (25/100)×40
=> 40/4
=> 10
10.
Sales tax = 4% of 7600
=> (4/100)×7600
=> 4×76
=> Rs. 304