Question

Please find the value of x and y in both figures only process and answer (i) x=75° y=105° (ii) x=35° y=95°​

Answer 1

Your answer is in the attachment.

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Answer 2

Answer:

a) 140°+√1=180°. (linear pair of angles)

√1= 180°-140°

√1= 40°

b) 115°+√2= 180°. (linear pair of angles)

√2= 180°-115°

√2=65°

In triangle, by angle sum property

√1+√2+x=180°

40°+65°+x=180°

105°+x=180°

x=180°-105°

x=75°

x+y=180°. linear pair of angles

75°+y=180°

y=180°-75°

y=105°

Step-by-step explanation:

b)85°+y=180°. linear pair of angles

y=180°-85°

y=95°

130°+√1=180°. linear pair of angles

√1=180°-130°

√1=50°

in triangle, by angle sum property

X + y+√1= 180°.

x+95°+50°=180°

x+145°=180°

x=180°-145°

x=35°

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