in the figure,l||m and a trans versal line t cuts them .If angle1:angle2=2:3,then find measure of all angles
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Answer:
Given,
L||M and T is transversal
ratio of angle 1 and angle 2 is 2:3
To prove,
measure of all angle
Proof,
Let we take x
so, angle be 2x:3x
then,
2x+3x=180° [linear pair ]
5x=180°
x=180°÷5
x=36°
now we get value of x =36°
so, 2x =2*36°=72°
3x=3*36°=108°
1=72°and 2=108°
2 =6=108° [corresponding angle1 =5=72° [corresponding angle]
1=3=72° [vertical opposite angle]
2=4=108°[vertical opposite angle]
3=7=72°[corresponding angle]
4=8=108°[corresponding angle]
hence proffed
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