,pilg and ris a transversal such that 1-135. Find the measures of L2,

1.	,pilg and ris a transversal such that 1-135. Find the measures of L2, 3、L4,gure S, ABI\|ICD and PO is the transversal. If 21:22-3.2, find the measure of all the4. In Figureangles from 1 to 8.Fig. 5Fig. 4
Answer» 5)Given,∠1:∠2=3:2Solution:∠1 and ∠2 are supplementary angles.So, ∠1+∠2=180°=>3x+2x=180°=>5x=180°=>x=36°so, ∠1=3x=336=108°and ∠2=2x=236=72° Now, ∠1=∠3 and ∠2 =∠4 (vertically opposite)so, ∠3=108°∠4=72° ∠4=∠6 and ∠3=∠5 ( alternate interior angles)so, ∠6=72° and ∠5=108°and finally, ∠5=∠7 and ∠6=∠8 ( vertically opposite)so, ∠7=108° and ∠8=72°

,pilg and ris a transversal such that 1-135. Find the measures of L2, 3、L4,gure S, ABI|ICD and PO is the transversal. If 21:22-3.2, find the measure of all the4. In Figureangles from 1 to 8.Fig. 5Fig. 4

Answer»

5)Given,∠1:∠2=3:2Solution:∠1 and ∠2 are supplementary angles.So, ∠1+∠2=180°=>3x+2x=180°=>5x=180°=>x=36°so, ∠1=3x=3*36=108°and ∠2=2x=2*36=72°

Now, ∠1=∠3 and ∠2 =∠4 (vertically opposite)so, ∠3=108°∠4=72°

∠4=∠6 and ∠3=∠5 ( alternate interior angles)so, ∠6=72° and ∠5=108°and finally,

∠5=∠7 and ∠6=∠8 ( vertically opposite)so, ∠7=108° and ∠8=72°