Question

10. In figure, m | n and angles 1 and 2 are in the ratio 3:2. Determine all the angles tom
1 to 8.
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Answer 1

Step-by-step explanation:

Given m//n,therefore angle1=3x and angle2=2x

therefore 3x+2x=180(linear pair) so x=36

therefore angle1= 108and angle2=72

so,angle2=angle4

72 =72(vertically opposite angles are equal)

and,angle1=angle3

108=108

angle3=angle5(alternate interior angle are equal)

so,108 =108

and,angle4=angle6(alternate interior angle are equal)

72=72

therefore,angle8=angle6

72=72

and,angle5=angle7

108=108

so,angle1=108,angle2=72,angle3=108,angle4=72,angle5=108,angle6=72,angle7=108,angle8=72

4.3