Question

In the given figure, find the values of x and y
Step by step
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Answer 1

Here is ur answer:

• Let unknown angles be w,x,y,z
• Now w=180-115
• =65
• z=180-140
• =40
• x=180-(65+40)
• =180-105
• =75
• y=180-75
• =105

X=75

Y=105

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{x=75°,y=105°}}}}$

Step-by-step explanation:

From the given figure:

y+115°+140°=180°

(the sum of all exterior angles of a triangle is equal to 360°)

=>y+255°=360°

=>y=360°-255°

=>y=105°

the measurement of y=105°

and x+y=180° (linear pair)

=>x+105°=180°

=>x=180°-105°

=>x=75°

the measurement of x=75°